Question

Find the expression that represents the length of the hypotenuse of a right triangle whose legs measure m^2-n^2 and 2mn

Answer 1

Answer:

√m^4 + n^4 +2m²n²

Step-by-step explanation:

Given the following

Opposite= m²-n²

adjacent = 2mn

Using pythagoras theorem

hyp² =  (m²-n²)²+(2mn)²

hyp² = m^4-2m²n²+n^4+4m²n²

hyp² = m^4 + n^4 +2m²n²

hyp = √m^4 + n^4 +2m²n²

hence the required expression is  √m^4 + n^4 +2m²n²