Intermediate Geometry : Acute / Obtuse Triangles
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Example Questions
Example Question #1 : How To Find The Perimeter Of An Acute / Obtuse Triangle
For the triangle below, the perimeter is 
The dashes on the two sides of the triangle indicate that those two sides are congruent. Thus, the length of the missing side is 
Now, use the information given about the perimeter to set up an equation to solve for 
Example Question #1 : How To Find The Perimeter Of An Acute / Obtuse Triangle
Find the value of 
The dashes on the two sides of the triangle indicate that those two sides are congruent. Thus, the length of the missing side is 
Now, use the information given about the perimeter to set up an equation to solve for 
Example Question #1 : How To Find The Perimeter Of An Acute / Obtuse Triangle
Find the value of 
The dashes on the two sides of the triangle indicate that those two sides are congruent. Thus, the length of the missing side is 
Now, use the information given about the perimeter to set up an equation to solve for 
Example Question #1 : Acute / Obtuse Triangles
An acute isosceles triangle has an area of 
To solve this problem, first work backwards using the formula:
Plugging in the given information and solving for height.
Now that you've found the height of the triangle, use the Pythagorean Theorem to find the length of one of the equivalent sides of the triangle.
(Note, when applying the formula divide the measurement of the base in half--so the triangle will have sides of 
Thus, the solution is:
In this problem, the isosceles triangle will have two sides with the length of 
Example Question #2 : How To Find The Perimeter Of An Acute / Obtuse Triangle
A scalene triangle has sides with lengths of 
To solve this problem, first convert each of the fractions from feet to inches. 
The perimeter of the triangle must equal 
Example Question #1 : Acute / Obtuse Triangles
An acute triangle has side lengths of 
Since the two side lengths provided in the question are not the hypotenuse, first use the Pythagorean Theorem to find the length of the third side.
The perimeter is equal to 
Example Question #1 : Acute / Obtuse Triangles
Find the perimeter of the triangle shown above.
Since the two side lengths provided in the question are not the hypotenuse, first use the Pythagorean Theorem to find the length of the third side.
Perimeter is equal to 
Example Question #2 : How To Find The Perimeter Of An Acute / Obtuse Triangle
An obtuse Isosceles triangle has an area of 
To solve this solution, first work backwards using the formula:
Now that you've found the height of the triangle, use the Pythagorean Theorem to find the length of one of the equivalent sides of the triangle.
(Note, when applying the formula divide the measurement of the base in half--so the triangle will have sides of 
Thus, the solution is:
In this problem, the isosceles triangle will have two sides with the length of 
Example Question #6 : How To Find The Perimeter Of An Acute / Obtuse Triangle
Find the perimeter of the acute isosceles triangle shown above. Note, the triangle has a base of 
Use the Pythagorean Theorem to find the length of one of the equivalent sides of the triangle.
(Note, when applying the formula divide the measurement of the base in half--so the triangle will have sides of 
Thus, the solution is:
In this problem, the isosceles triangle will have two sides with the length of 
Example Question #1 : How To Find The Perimeter Of An Acute / Obtuse Triangle
Find the perimeter of the triangle below. Round to the nearest tenths place.
Draw in the height to create a right triangle.
Now, using the relationship between the lengths of sides in a 
The dashes on two sides of the triangle indicate that these two sides are congruent. The three side lengths of the triangle are 
Now, add up these side lengths to find the perimeter.
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