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The legs of a right triangle have lengths of 15 cm and 112 cm. What is the length of the hypotenuse?

The legs of a right triangle have lengths of 15 cm and 112 cm. What is the length-example-1
User JosephHall
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ANSWER

113 cm

Step-by-step explanation

The Pythagorean Theorem states that for a right triangle with leg lengths a and b, and hypotenuse c, the square of the hypotenuse is equal to the sum of the squares of the legs,


c^2=a^2+b^2

In this case, the lengths of the legs are 15 cm and 112 cm, so the length of the hypotenuse is,


c=√(15^2+112^2)=√(225+12544)=√(12769)=113cm

Hence, the length of the hypotenuse is 113 cm.

User Hugh Fisher
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