Answered

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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 Of The Hypotenuse class=

Sagot :

ANSWER

113 cm

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,

[tex]c^2=a^2+b^2[/tex]

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

[tex]c=\sqrt{15^2+112^2}=\sqrt{225+12544}=\sqrt{12769}=113cm[/tex]

Hence, the length of the hypotenuse is 113 cm.

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