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06-04-2015
Mathematics

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The legs of an isosceles right triangle are 20 cm long. Find the length of the hypotenuse. Round to the nearest tenth if necessary

Verified Answer :

06-04-2015

Use the Pythagorean theorem:
\((leg)^2+(leg)^2=(hypotenuse)^2 \\ 20^2+20^2=x^2 \\ 400+400=x^2 \\ x^2=800 \\ x=\sqrt{800} \\ x=28.28... \\ x \approx 28.3\)

The length of the hypotenus is approximately 28.3 cm.

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