Question

Assume a and b are variables that hold the base and height of a right triangle. The length of the long side (hypotenuse) is calculated as the square root of a^2 + b^2. Which expression calculates the length of the hypotenuse?

Answer 1

The expression that calculates the length of the hypotenuse is  c = √a² + b²

Pythagoras theorem:

• c² = a² + b²

where

c = hypotenuse

a and b are the other legs

Therefore, the expression that calculates the length of the hypotenuse is as follows:

• c² = a² + b²

square root both sides to get the length of the hypotenuse c.

√c² = √a² + b²

Therefore,

c = √a² + b²

learn more on right triangle here: https://brainly.com/question/9214495?referrer=searchResults