How to find the length of the side of an acute / obtuse triangle - SSAT Upper Level Quantitative
Card 0 of 52
The perimeter of a triangle is 
. If one side has the length 
, and another side has the length 
, what is the length of the third side?
The perimeter of a triangle is . If one side has the length 
, and another side has the length 
, what is the length of the third side?
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 is the length of all the sides added up.
Using the information given in the question,
Now, solve for side 3.
Compare your answer with the correct one above
If the perimeter of the triangle is 
 and two of the sides are given in the figure below, what is the length of the third side?

If the perimeter of the triangle is  and two of the sides are given in the figure below, what is the length of the third side?

To find the perimeter of a triangle, add up all of its sides.
Let 
 be the length of the third side.



The length of the third side is 
.
To find the perimeter of a triangle, add up all of its sides.
Let  be the length of the third side.
The length of the third side is .
Compare your answer with the correct one above
The perimeter of the triangle is 
, and two of the sides are already given. What is the length of the third side?

The perimeter of the triangle is , and two of the sides are already given. What is the length of the third side?

Add up all the sides to find the perimeter of the triangle.
Let 
 be the length of the third side.



The length of the third side is 
.
Add up all the sides to find the perimeter of the triangle.
Let  be the length of the third side.
The length of the third side is .
Compare your answer with the correct one above
The perimeter of the triangle is 
, and two of the sides are already given. What is the length of the third side?

The perimeter of the triangle is , and two of the sides are already given. What is the length of the third side?

Add up all the sides to find the perimeter of the triangle.
Let 
 be the length of the third side.



The length of the third side is 
.
Add up all the sides to find the perimeter of the triangle.
Let  be the length of the third side.
The length of the third side is .
Compare your answer with the correct one above
The perimeter of the triangle is 
, and two of the sides are given. What is the length of the third side?

The perimeter of the triangle is , and two of the sides are given. What is the length of the third side?

Add up all the sides to find the perimeter of the triangle.
Let 
 be the length of the third side.



The length of the third side is 
.
Add up all the sides to find the perimeter of the triangle.
Let  be the length of the third side.
The length of the third side is .
Compare your answer with the correct one above
The perimeter of the triangle is 
, and two of the sides are given. What is the length of the third side?

The perimeter of the triangle is , and two of the sides are given. What is the length of the third side?

Add up all the sides to find the perimeter of the triangle.
Let 
 be the length of the third side.



The length of the third side is 
.
Add up all the sides to find the perimeter of the triangle.
Let  be the length of the third side.
The length of the third side is .
Compare your answer with the correct one above
The perimeter of the triangle is 
, and two of the sides are given. Find the length of the third side.

The perimeter of the triangle is , and two of the sides are given. Find the length of the third side.

Add up all the sides to find the perimeter of the triangle.
Let 
 be the length of the third side.



The length of the third side is 
.
Add up all the sides to find the perimeter of the triangle.
Let  be the length of the third side.
The length of the third side is .
Compare your answer with the correct one above
A triangle has side lenghts of 
, 
, and 
. The perimeter of this triangle is 
. Find the length of the shortest side.
A triangle has side lenghts of , 
, and 
. The perimeter of this triangle is 
. Find the length of the shortest side.
Add up all the sides to find the perimeter of the triangle.




Now, we plug in the value of 
 into 
 to find the length of the shortest side.

The length of the shortest side is 
.
Add up all the sides to find the perimeter of the triangle.
Now, we plug in the value of  into 
 to find the length of the shortest side.
The length of the shortest side is .
Compare your answer with the correct one above
The lengths of a triangle with a perimeter of 
 are 
. Find the length of the longest side.
The lengths of a triangle with a perimeter of  are 
. Find the length of the longest side.
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 
.
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 .
Compare your answer with the correct one above
A triangle with a perimeter of 
 has side lengths of 
. Find the length of the longest side.
A triangle with a perimeter of  has side lengths of 
. Find the length of the longest side.
Add up all the sides to find the perimeter.




Now, plug in the value of 
 to find the lengths of the triangle, then choose the largest one.



Add up all the sides to find the perimeter.
Now, plug in the value of  to find the lengths of the triangle, then choose the largest one.
Compare your answer with the correct one above
A triangle with a perimeter of 
 has side lengths of 
. Find the length of the shortest side.
A triangle with a perimeter of  has side lengths of 
. Find the length of the shortest side.
Add up all the sides to find the perimeter.



.
Now, subsitute the value of 
 to find the lengths of the sides, then choose the longest side.



Add up all the sides to find the perimeter.
.
Now, subsitute the value of  to find the lengths of the sides, then choose the longest side.
Compare your answer with the correct one above
The perimeter for the triangle is 
, and two sides are given. Find the length of the third side.

The perimeter for the triangle is , and two sides are given. Find the length of the third side.

Add up all the sides to find the perimeter.
Let 
 be the length of the third side.



The length of the third side is 
.
Add up all the sides to find the perimeter.
Let  be the length of the third side.
The length of the third side is .
Compare your answer with the correct one above
The perimeter of the triangle is 
, and two of the sides are given. What is the length of the third side?

The perimeter of the triangle is , and two of the sides are given. What is the length of the third side?

Add up all the sides to find the perimeter.
Let 
 be the length of the third side.



The length of the third side is 
.
Add up all the sides to find the perimeter.
Let  be the length of the third side.
The length of the third side is .
Compare your answer with the correct one above
The perimeter of a triangle is 
. If one side has the length 
, and another side has the length 
, what is the length of the third side?
The perimeter of a triangle is . If one side has the length 
, and another side has the length 
, what is the length of the third side?
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 is the length of all the sides added up.
Using the information given in the question,
Now, solve for side 3.
Compare your answer with the correct one above
If the perimeter of the triangle is 
 and two of the sides are given in the figure below, what is the length of the third side?

If the perimeter of the triangle is  and two of the sides are given in the figure below, what is the length of the third side?

To find the perimeter of a triangle, add up all of its sides.
Let 
 be the length of the third side.



The length of the third side is 
.
To find the perimeter of a triangle, add up all of its sides.
Let  be the length of the third side.
The length of the third side is .
Compare your answer with the correct one above
The perimeter of the triangle is 
, and two of the sides are already given. What is the length of the third side?

The perimeter of the triangle is , and two of the sides are already given. What is the length of the third side?

Add up all the sides to find the perimeter of the triangle.
Let 
 be the length of the third side.



The length of the third side is 
.
Add up all the sides to find the perimeter of the triangle.
Let  be the length of the third side.
The length of the third side is .
Compare your answer with the correct one above
The perimeter of the triangle is 
, and two of the sides are already given. What is the length of the third side?

The perimeter of the triangle is , and two of the sides are already given. What is the length of the third side?

Add up all the sides to find the perimeter of the triangle.
Let 
 be the length of the third side.



The length of the third side is 
.
Add up all the sides to find the perimeter of the triangle.
Let  be the length of the third side.
The length of the third side is .
Compare your answer with the correct one above
The perimeter of the triangle is 
, and two of the sides are given. What is the length of the third side?

The perimeter of the triangle is , and two of the sides are given. What is the length of the third side?

Add up all the sides to find the perimeter of the triangle.
Let 
 be the length of the third side.



The length of the third side is 
.
Add up all the sides to find the perimeter of the triangle.
Let  be the length of the third side.
The length of the third side is .
Compare your answer with the correct one above
The perimeter of the triangle is 
, and two of the sides are given. What is the length of the third side?

The perimeter of the triangle is , and two of the sides are given. What is the length of the third side?

Add up all the sides to find the perimeter of the triangle.
Let 
 be the length of the third side.



The length of the third side is 
.
Add up all the sides to find the perimeter of the triangle.
Let  be the length of the third side.
The length of the third side is .
Compare your answer with the correct one above
The perimeter of the triangle is 
, and two of the sides are given. Find the length of the third side.

The perimeter of the triangle is , and two of the sides are given. Find the length of the third side.

Add up all the sides to find the perimeter of the triangle.
Let 
 be the length of the third side.



The length of the third side is 
.
Add up all the sides to find the perimeter of the triangle.
Let  be the length of the third side.
The length of the third side is .
Compare your answer with the correct one above