All GED Math Resources
Example Questions
Example Question #1 : Perimeter And Sides Of Triangles
Note: Figure NOT drawn to scale.
Refer to the above diagram. Evaluate .
The altitude perpendicular to the hypotenuse of a right triangle divides that triangle into two smaller triangles similar to each other and the large triangle. Therefore, the sides are in proportion. The hypotenuse of the triangle is equal to
.
Therefore, we can set up a proportion and solve for :
Example Question #1 : Triangles
If the base of an equilateral triangle is 16cm, find the perimeter.
To find the perimeter of a triangle, we will use the following formula:
where a, b, and c are the lengths of the sides of the triangle.
Now, we know the base of the triangle is 16cm. Because it is an equilateral triangle, all sides are equal. Therefore, all sides are 16cm. So, we get
Example Question #2 : Triangles
The perimeter of an equilateral triangle is 36in. Find the length of one side.
The formula to find the perimeter of an equilateral triangle is
where a is the length of one side of the triangle. Because it is an equilateral triangle, all sides are equal. Therefore, we can use any side in the formula. To find the length of one side, we will solve for a.
Now, we know the perimeter of the equilateral triangle is 36in. So, we will substitute and solve for a. We get
Therefore, the length of one side of the equilateral triangle is 12in.
Example Question #3 : Triangles
Find the perimeter of an equilateral triangle with a side having a length of 17in.
To find the perimeter of a triangle, we will use the following formula:
where a, b, and c are the lengths of the sides of the triangle.
Now, we know one side of the triangle has a length of 17in. Because it is an equilateral triangle, all sides are equal. Therefore, all sides are 17in. So, we can substitute. We get
Example Question #4 : Triangles
An equilateral triangle has a perimeter of 69in. Find the length of one side.
The formula to find the perimeter of an equilateral triangle is
where a is the length of one side of the triangle. Because an equilateral triangle has 3 equal sides, we can use any side in the formula. To find the length of one side, we will solve for a.
Now, we know the perimeter of the triangle is 69in. So, we can substitute and solve for a. We get
Therefore, the length of one side of the equilateral triangle is 23in.
Example Question #181 : 2 Dimensional Geometry
The perimeter of an equilateral triangle is 42cm. Find the length of one side.
To find the perimeter of an equilateral triangle, we will use the following formula:
where a is the length of one side. An equilateral triangle has 3 equal sides, so we can use any side in the formula. To find the length of one side, we will solve for a. Now, we know the perimeter of the triangle is 42cm. So, we will substitute and solve for a. We get
Therefore, the length of one side of the equilateral triangle is 14cm.
Example Question #5 : Perimeter And Sides Of Triangles
A triangle has the sides of , , and . What is the perimeter of the triangle?
The three sides of the triangle are known. Add all the sides together.
The answer is:
Example Question #182 : Geometry And Graphs
Suppose the perimeter of a triangle is . What must be the side length?
There are three sides in a triangle.
To determine the length of a side, multiply the quantity by one-third.
The answer is:
Example Question #182 : Geometry And Graphs
The perimeter of an equilateral triangle is 45in. Find the length of one side.
The formula to find the perimeter of an equilateral triangle is
where a is the length of one side of the triangle. Because it is an equilateral triangle, all sides are equal. Therefore, we can use any side in the formula. To find the length of one side, we will solve for a.
Now, we know the perimeter of the triangle is 45in. So, we can substitute and solve for a. So, we get
Therefore, the length of one side of the equilateral triangle is 15in.
Example Question #11 : Triangles
An equilateral triangle has a perimeter of 123in. Find the length of one side.
The formula to find the perimeter of an equilateral triangle is
where a is the length of one side of the triangle. An equilateral triangle has 3 equal sides, so we can use any side in the formula. To find the length of one side, we will solve for a.
Now, we know the perimeter of the triangle is 123in. So, we will substitute and solve for a. We get
Therefore, the length of one side of the equilateral triangle is 41in.