## The lengths of two sides of a right triangle are 5 inches and 8 inches. What is the difference between the two possible lengths of the

Question

The lengths of two sides of a right triangle are 5 inches and 8 inches. What is the difference between the two possible
lengths of the third side of the triangle? Round your answer to the nearest tenth.
O
O
O
O
3.1 inches
3.2 inches
10.0 inches
15.7 inches

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2 weeks 2021-09-11T00:29:13+00:00 2 Answers 0

B) 3.2 inches

Step-by-step explanation:

did it on edge

The difference between the two possible  lengths of the third side of the triangle is:

3.2 inches

## Step-by-step explanation:

The lengths of two sides of a right triangle are 5 inches and 8 inches.

This means that the third side could be the hypotenuse of the triangle or it could be a leg of a triangle with hypotenuse as: 8 inches.

Let the third side be denoted by c.

• If the third side is the hypotenuse of the triangle.

Then by using the Pythagorean Theorem we have: • and if the third side i.e. c is one  of the leg of the triangle with hypotenuse 8 inches then the again by using Pythagorean Theorem we have: Hence, the difference between the two possible lengths of the third side is: which to the nearest tenth is: 3.2 inches