Question

What is the value of n in the figure below?

A. 2.1 in.
B. 3.3 in.
C. 3.9 in.
D. 5.1 in.​

Answer 1

Given:

Given that the lengths of the legs of the right triangle are 1.5 inches and 3.6 inches.

The length of the hypotenuse is n inches.

We need to determine the length of the hypotenuse.

Length of the hypotenuse:

The length of the hypotenuse can be determined using the Pythagorean theorem.

Thus, we have;

`n^2=1.5^2+3.6^2`

Squaring the terms, we have;

`n^2=2.25+12.96`

Adding the terms, we get;

`n^2=15.21`

Taking square root on both sides of the equation, we get;

`n=√(15.21)`

`n=3.9`

Thus, the value of n is 3.9 inches.

Hence, the length of the hypotenuse is 3.9 inches.

Therefore, Option C is the correct answer.