Question

Find the length of the uknown side round your answer to the nearest whole number.

Answer 1

Answer:

The length of the unknown side is 10 meters

Step-by-step explanation:

we know that

In this problem we have an isosceles right triangle

Applying the Pythagorean Theorem

$c^2=a^2+b^2$

where

c is the hypotenuse (unknown side)

a and b are the legs

we have

$a=7\ m\\b=7\ m$

substitute

$c^2=7^2+7^2$

$c^2=(2)7^2$

$c=7\sqrt{2}\ m$

$c=9.9\ m$

Round to the nearest whole number

$c=10\ m$

therefore

The length of the unknown side is 10 meters