The legs of a right triangle measure 13 centimeters and 17 centimeters. which of the following is the measure for the longest side of the triangle?

Answer with Step-by-step explanation:

In a right angled triangle the longest side is its hypotenuse.

And according to Pythagorean theorem:

Hypotenuse is equal to square root of the sum of squares of the legs of the right angled triangle.

i.e.

where x and y are legs of right angled triangle

Here, x=13 and y=17

Hypotenuse= 21.4 cm

Hence, measure for the longest side of the triangle is:

21.4 cm