How to find the length of the side of an acute / obtuse triangle - SSAT Upper Level Quantitative (Math)

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Question

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?

Answer

The perimeter is the length of all the sides added up.

Using the information given in the question,

Now, solve for side 3.

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Question

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?

1

Answer

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 .

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Question

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

2

Answer

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 .

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Question

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

3

Answer

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 .

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Question

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

4

Answer

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 .

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Question

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

5

Answer

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 .

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Question

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

6

Answer

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 .

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Question

A triangle has side lenghts of , , and . The perimeter of this triangle is . Find the length of the shortest side.

Answer

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 .

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Question

The lengths of a triangle with a perimeter of are . Find the length of the longest side.

Answer

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 .

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Question

A triangle with a perimeter of has side lengths of . Find the length of the longest side.

Answer

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.

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Question

A triangle with a perimeter of has side lengths of . Find the length of the shortest side.

Answer

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.

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Question

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

7

Answer

Add up all the sides to find the perimeter.

Let be the length of the third side.

The length of the third side is .

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Question

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

8

Answer

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

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