How to find the perimeter of an acute / obtuse triangle - ACT Math
Card 0 of 45
Two similiar triangles exist where the ratio of perimeters is 4:5 for the smaller to the larger triangle. If the larger triangle has sides of 6, 7, and 12 inches, what is the perimeter, in inches, of the smaller triangle?
Two similiar triangles exist where the ratio of perimeters is 4:5 for the smaller to the larger triangle. If the larger triangle has sides of 6, 7, and 12 inches, what is the perimeter, in inches, of the smaller triangle?
The larger triangle has a perimeter of 25 inches. Therefore, using a 4:5 ratio, the smaller triangle's perimeter will be 20 inches.
The larger triangle has a perimeter of 25 inches. Therefore, using a 4:5 ratio, the smaller triangle's perimeter will be 20 inches.
Compare your answer with the correct one above
Two similiar triangles have a ratio of perimeters of 
.
If the smaller triangle has sides of 3, 7, and 5, what is the perimeter of the larger triangle.
Two similiar triangles have a ratio of perimeters of
If the smaller triangle has sides of 3, 7, and 5, what is the perimeter of the larger triangle.
Adding the sides gives a perimeter of 15 for the smaller triangle. Multipying by the given ratio of 
, yields 52.5.
Adding the sides gives a perimeter of 15 for the smaller triangle. Multipying by the given ratio of
Compare your answer with the correct one above
Two similar triangles' perimeters are in a ratio of 
. If the lengths of the larger triangle's sides are 
, 
, and 
, what is the perimeter of the smaller triangle?
Two similar triangles' perimeters are in a ratio of
1. Find the perimeter of the larger triangle:
2. Use the given ratio to find the perimeter of the smaller triangle:
Cross multiply and solve:
1. Find the perimeter of the larger triangle:
2. Use the given ratio to find the perimeter of the smaller triangle:
Cross multiply and solve:
Compare your answer with the correct one above
There are two similar triangles. Their perimeters are in a ratio of 
. If the perimeter of the smaller triangle is 
, what is the perimeter of the larger triangle?
There are two similar triangles. Their perimeters are in a ratio of
Use proportions to solve for the perimeter of the larger triangle:
Cross multiply and solve:
Use proportions to solve for the perimeter of the larger triangle:
Cross multiply and solve:
Compare your answer with the correct one above
Two similar triangles have perimeteres in the ratio 
. The sides of the smaller triangle measure 
, 
, and 
respectively. What is the perimeter, in meters, of the larger triangle?
Two similar triangles have perimeteres in the ratio
Since the perimeter of the smaller triangle is 
, and since the larger triangle has a perimeter in the 
ratio, we can set up the following identity, where 
the perimeter of the larger triangle:
In cross multiplying this identity, we get 
. We can now solve for 
. Here, 
, so the perimeter of the larger triangle is 
.
Since the perimeter of the smaller triangle is
In cross multiplying this identity, we get
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Two similiar triangles exist where the ratio of perimeters is 4:5 for the smaller to the larger triangle. If the larger triangle has sides of 6, 7, and 12 inches, what is the perimeter, in inches, of the smaller triangle?
Two similiar triangles exist where the ratio of perimeters is 4:5 for the smaller to the larger triangle. If the larger triangle has sides of 6, 7, and 12 inches, what is the perimeter, in inches, of the smaller triangle?
The larger triangle has a perimeter of 25 inches. Therefore, using a 4:5 ratio, the smaller triangle's perimeter will be 20 inches.
The larger triangle has a perimeter of 25 inches. Therefore, using a 4:5 ratio, the smaller triangle's perimeter will be 20 inches.
Compare your answer with the correct one above
Two similiar triangles have a ratio of perimeters of .
If the smaller triangle has sides of 3, 7, and 5, what is the perimeter of the larger triangle.
Two similiar triangles have a ratio of perimeters of
If the smaller triangle has sides of 3, 7, and 5, what is the perimeter of the larger triangle.
Adding the sides gives a perimeter of 15 for the smaller triangle. Multipying by the given ratio of , yields 52.5.
Adding the sides gives a perimeter of 15 for the smaller triangle. Multipying by the given ratio of
Compare your answer with the correct one above
Two similar triangles' perimeters are in a ratio of . If the lengths of the larger triangle's sides are , , and , what is the perimeter of the smaller triangle?
Two similar triangles' perimeters are in a ratio of
1. Find the perimeter of the larger triangle:
2. Use the given ratio to find the perimeter of the smaller triangle:
Cross multiply and solve:
1. Find the perimeter of the larger triangle:
2. Use the given ratio to find the perimeter of the smaller triangle:
Cross multiply and solve:
Compare your answer with the correct one above
There are two similar triangles. Their perimeters are in a ratio of . If the perimeter of the smaller triangle is , what is the perimeter of the larger triangle?
There are two similar triangles. Their perimeters are in a ratio of
Use proportions to solve for the perimeter of the larger triangle:
Cross multiply and solve:
Use proportions to solve for the perimeter of the larger triangle:
Cross multiply and solve:
Compare your answer with the correct one above
Two similar triangles have perimeteres in the ratio . The sides of the smaller triangle measure , , and respectively. What is the perimeter, in meters, of the larger triangle?
Two similar triangles have perimeteres in the ratio
Since the perimeter of the smaller triangle is , and since the larger triangle has a perimeter in the ratio, we can set up the following identity, where the perimeter of the larger triangle:
In cross multiplying this identity, we get . We can now solve for . Here, , so the perimeter of the larger triangle is .
Since the perimeter of the smaller triangle is
In cross multiplying this identity, we get
Compare your answer with the correct one above
Two similiar triangles exist where the ratio of perimeters is 4:5 for the smaller to the larger triangle. If the larger triangle has sides of 6, 7, and 12 inches, what is the perimeter, in inches, of the smaller triangle?
Two similiar triangles exist where the ratio of perimeters is 4:5 for the smaller to the larger triangle. If the larger triangle has sides of 6, 7, and 12 inches, what is the perimeter, in inches, of the smaller triangle?
The larger triangle has a perimeter of 25 inches. Therefore, using a 4:5 ratio, the smaller triangle's perimeter will be 20 inches.
The larger triangle has a perimeter of 25 inches. Therefore, using a 4:5 ratio, the smaller triangle's perimeter will be 20 inches.
Compare your answer with the correct one above
Two similiar triangles have a ratio of perimeters of .
If the smaller triangle has sides of 3, 7, and 5, what is the perimeter of the larger triangle.
Two similiar triangles have a ratio of perimeters of
If the smaller triangle has sides of 3, 7, and 5, what is the perimeter of the larger triangle.
Adding the sides gives a perimeter of 15 for the smaller triangle. Multipying by the given ratio of , yields 52.5.
Adding the sides gives a perimeter of 15 for the smaller triangle. Multipying by the given ratio of
Compare your answer with the correct one above
Two similar triangles' perimeters are in a ratio of . If the lengths of the larger triangle's sides are , , and , what is the perimeter of the smaller triangle?
Two similar triangles' perimeters are in a ratio of
1. Find the perimeter of the larger triangle:
2. Use the given ratio to find the perimeter of the smaller triangle:
Cross multiply and solve:
1. Find the perimeter of the larger triangle:
2. Use the given ratio to find the perimeter of the smaller triangle:
Cross multiply and solve:
Compare your answer with the correct one above
There are two similar triangles. Their perimeters are in a ratio of . If the perimeter of the smaller triangle is , what is the perimeter of the larger triangle?
There are two similar triangles. Their perimeters are in a ratio of
Use proportions to solve for the perimeter of the larger triangle:
Cross multiply and solve:
Use proportions to solve for the perimeter of the larger triangle:
Cross multiply and solve:
Compare your answer with the correct one above
Two similar triangles have perimeteres in the ratio . The sides of the smaller triangle measure , , and respectively. What is the perimeter, in meters, of the larger triangle?
Two similar triangles have perimeteres in the ratio
Since the perimeter of the smaller triangle is , and since the larger triangle has a perimeter in the ratio, we can set up the following identity, where the perimeter of the larger triangle:
In cross multiplying this identity, we get . We can now solve for . Here, , so the perimeter of the larger triangle is .
Since the perimeter of the smaller triangle is
In cross multiplying this identity, we get
Compare your answer with the correct one above
Two similiar triangles exist where the ratio of perimeters is 4:5 for the smaller to the larger triangle. If the larger triangle has sides of 6, 7, and 12 inches, what is the perimeter, in inches, of the smaller triangle?
Two similiar triangles exist where the ratio of perimeters is 4:5 for the smaller to the larger triangle. If the larger triangle has sides of 6, 7, and 12 inches, what is the perimeter, in inches, of the smaller triangle?
The larger triangle has a perimeter of 25 inches. Therefore, using a 4:5 ratio, the smaller triangle's perimeter will be 20 inches.
The larger triangle has a perimeter of 25 inches. Therefore, using a 4:5 ratio, the smaller triangle's perimeter will be 20 inches.
Compare your answer with the correct one above
Two similiar triangles have a ratio of perimeters of .
If the smaller triangle has sides of 3, 7, and 5, what is the perimeter of the larger triangle.
Two similiar triangles have a ratio of perimeters of
If the smaller triangle has sides of 3, 7, and 5, what is the perimeter of the larger triangle.
Adding the sides gives a perimeter of 15 for the smaller triangle. Multipying by the given ratio of , yields 52.5.
Adding the sides gives a perimeter of 15 for the smaller triangle. Multipying by the given ratio of
Compare your answer with the correct one above
Two similar triangles' perimeters are in a ratio of . If the lengths of the larger triangle's sides are , , and , what is the perimeter of the smaller triangle?
Two similar triangles' perimeters are in a ratio of
1. Find the perimeter of the larger triangle:
2. Use the given ratio to find the perimeter of the smaller triangle:
Cross multiply and solve:
1. Find the perimeter of the larger triangle:
2. Use the given ratio to find the perimeter of the smaller triangle:
Cross multiply and solve:
Compare your answer with the correct one above
There are two similar triangles. Their perimeters are in a ratio of . If the perimeter of the smaller triangle is , what is the perimeter of the larger triangle?
There are two similar triangles. Their perimeters are in a ratio of
Use proportions to solve for the perimeter of the larger triangle:
Cross multiply and solve:
Use proportions to solve for the perimeter of the larger triangle:
Cross multiply and solve:
Compare your answer with the correct one above
Two similar triangles have perimeteres in the ratio . The sides of the smaller triangle measure , , and respectively. What is the perimeter, in meters, of the larger triangle?
Two similar triangles have perimeteres in the ratio
Since the perimeter of the smaller triangle is , and since the larger triangle has a perimeter in the ratio, we can set up the following identity, where the perimeter of the larger triangle:
In cross multiplying this identity, we get . We can now solve for . Here, , so the perimeter of the larger triangle is .
Since the perimeter of the smaller triangle is
In cross multiplying this identity, we get
Compare your answer with the correct one above