A mouse has made holes in opposite corners of a rectangular kitchen. The width of the kitchen is 2 meters, and the distance betw
een the mouse's holes is 6 meters. What is the length of the kitchen? If necessary, round to the nearest tenth.
1 answer:
Answer:
5.7 meters
Step-by-step 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.
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