How to find the length of the side of an acute / obtuse triangle
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SSAT Upper Level Quantitative › How to find the length of the side of an acute / obtuse triangle
The perimeter of the triangle is 
Explanation
Add up all the sides to find the perimeter of the triangle.
Let 
The length of the third side is 
The perimeter of a triangle is 
Explanation
The perimeter is the length of all the sides added up.
Using the information given in the question,
Now, solve for side 3.
The perimeter of the triangle is 
Explanation
Add up all the sides to find the perimeter of the triangle.
Let 
The length of the third side is 
The perimeter of the triangle is 
Explanation
Add up all the sides to find the perimeter of the triangle.
Let 
The length of the third side is 
The perimeter of the triangle is 
Explanation
Add up all the sides to find the perimeter of the triangle.
Let 
The length of the third side is 
The perimeter of the triangle is 
Explanation
Add up all the sides to find the perimeter of the triangle.
Let 
The length of the third side is 
A triangle has side lenghts of 
Explanation
Add up all the sides to find the perimeter of the triangle.
Now, we plug in the value of 
The length of the shortest side is 
The lengths of a triangle with a perimeter of 
Explanation
Add up all the sides to find the perimeter.
Plugging this value into the sides we get:
The side lengths of the triangle are 
The length of the longest side is 
A triangle with a perimeter of 
Explanation
Add up all the sides to find the perimeter.
Now, plug in the value of 
A triangle with a perimeter of 
Explanation
Add up all the sides to find the perimeter.
Now, subsitute the value of 
