Answer:
hypotenuse = 42.5
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