The hypotenuse of a right-angled triangle is 20 meters. If the difrference between the lengths of the other sides be 4 metres, find the other sides.

Answer

16 m, 12 m

Explanation

Let the other sides of x metres and `(x-4)` metres.
`:." "x^(2)+(x-4)^(2)=(20)^(2)implies2x^(2)-8x-384=0`
`implies" "x^(2)-4x-192=0implies(x-16)(x+12)=0impliesx=16.`