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The shorter leg of a right triangle has length 5 cm, and the longer leg has length 7 cm. How long is the hypotenuse? (Round to one decimal place.)

User Magallanes
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The shorter leg of a right triangle has length 5 cm, and the longer leg has length 7 cm. How long is the hypotenuse? (Round to one decimal place.)

Applying the Pythagorean Theorem

c^2=a^2+b^2

where

c is the hypotenuse

and a and b are the legs

so

we have

a=5 cm

b=7 cm

substitute

c^2=5^2+7^2

c^2=25+49

c^2=74

square root

c=8.6

answer is

hypotenuse is 8.6 cm

User Ben Torell
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