The sides of a right angled triangle are x cm, (x+1)cm and (x+3)cm. Show that x^2 - 4x -8 = 0 and solve this equation to find the lengths of the sides of the triangle. give your answers correct to two decimal places.

Question

raden · Answer

as the longest side is (x+3), right ? then (x+3) as the hypotenuse.
use hte pythagorean theorem :
x^2 + (x+1)^2 = (x+3)^2
simplify then solve for x

afifarahman · Answer

Thanks !

raden · Answer

btw, x^2 - 4x -8 = 0cant be factored. so you can use quadratic formula to solve for x.

x = (-b +-sqrt(b^2 - 4ac))/(2a)
here a = a, b = -4 and c = -8

you're welcome

raden · Answer

damn typo, i meant a = 1