help please

Question

The measure of the legs (short sides) of the right triangle are 4x²y² and 8x²y². what is the lenght of the hypotenuse? write your answer as a mixed radical in simplest form.

Answer 1

The Sides of the right angled triangle is given as 4x²y² and 8x²y²

To find the Hypotenuse, We make use of Pythagoras theorem Hypotenuse² = side² + side²

Hypotenuse² = (4x²y²)² + (8x²y²)²

Therefore the Length of the Hypotenuse is 4√(5) x²y².