Find the value of each variable for the right triangles. make sure all answers are in reduced radical form. show your work.

Hi there! The answer is 3 multiplied by the square root of 13.

Using the following theorem (Pythagorean Theorem), with a and b representing rectangular sides and c representing the hypotenuse, and the numbers from the picture, we get the following:



Fill in the numbers


Work out the powers


Add up


Take the square root of both sides.

Ibelieve 4mn because it’s like you’re combining them