Question

The hypotenuse of a right angled triangle is 24cm. The other two sides are such that one is 5cm longer than the other. Find the length of other two sides. ​

Answer 1

24^2 = x^2 + (x+5)^2

576= 2x^2 + 10x + 25

2x^2 + 10x -551 = 0

Solve for x using quadratic equations (look at picture for formula)

X=14.29 or x =-19.29 (disregard the negative answer because lengths can’t be in negative )

The last side is x+5= 14.25+5 = 19.25

Hope this helps..it’s been a while since I dealt with quadratic equations.