Question

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 1

The longest side equals about 21.4

You can get this by adding together the squares of both legs then taking the square root. I rounded to a single decimal place.

Answer 2

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.
`Hypotenuse=√(x^2+y^2)`

where x and y are legs of right angled triangle

Here, x=13 and y=17

`Hypotenuse=√(13^2+17^2)`

`Hypotenuse=√(458)`

Hypotenuse= 21.4 cm

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

21.4 cm