Question

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

Answer 1

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.