Question

A mouse has made holes in opposite corners of a rectangular kitchen. The width of the kitchen is 2 meters, and the distance between the mouse's holes is 6 meters. What is the length of the kitchen? If necessary, round to the nearest tenth.

Answer 1

5.7 meters

Explanation:

The Pythagorean theorem can be used to find the second leg (b) of a triangle with diagonal (c) 6 meters and first leg (a) 2 meters.

c^2 = a^2 + b^2

6^2 = 2^2 +b^2

b^2 = 36 -4 = 32

b = √32 ≈ 5.7 . . . . meters

The kitchen is about 5.7 meters long.