Question

Two sides of a right triangle have lengths of 4 centimeters and 7 centimeters. The third side is NOT the hypotenuse. How long is the third side? (Round your answer to the nearest tenth.)

Answer 1

Answer:

The third side is 5.7 centimeters.

Step-by-step explanation:

The hypothenuse is the largest side of a right triangle. So in this question, we know that the hypothenuse is 7.

One of the sides is 4, and the other is x.

Applying Pythagoras' Theorem:

$x^{2} + 4^{2} = 7^{2}$

$x^{2} = 49 - 16$

$x^{2} = 33$

$x = \pm \sqrt{33}$

Since it is a length measure, we only take the positive value

$x = 5.7$

The third side is 5.7 centimeters.