What is the answer to this problem? ignore the work. what is the correct answer?

hypotenuse = 42.5

Step-by-step explanation:

let the longer leg be x then the hypotenuse is x + 5 ( 5 more than longer leg )

Using Pythagoras' identity, then

(x + 5)² = 20² + x² ← expand left side

x² + 10x + 25 = 400 + x² ( subtract x² from both sides )

10x + 25 = 400 ( subtract 25 from both sides )

10x = 375 ( divide both sides by 10 )

x = 37.5 ← longer leg, thus

hypotenuse = 37.5 + 5 = 42.5

answer: about 22.67

step-by-step explanation: