Question

a right-angled is to be constructed so that the hypothenuse is 20 cm long. the height of the triangle is 4 cm longer than the base of the triangle. evaluate the length of each side of the triangle

Answer 1

let the base be x

then the height is x+4

by Pythagoras theorem

20^2=x^2+(x+4)^2

400=x^2+x^2+16+8x

400=2x^2+16+8x

400=2(x^2+8+4x)

400/2=x^2+4x+8

200-8=x^2+4x

x^2+4x-196=0