Question

Sides of a right angle triangle are three consecutive numbers find them

Answer 1

Answer:

let the sides of triangle be (x),(x+1),(x+2

since it is a right angled triangle,by pythagorus theorem,

$h { }^{2} = p {}^{2} + b {}^{2}$

here,it is obvious that the longer side (x+2) will be the hypotenus,perpendicular will be (x+1) and the base is x.

(x+2)square= (x+1)sq. +(x)sq.

xsq. + 4 +4x= xsq. +1 +2x+xsq.

xsq.+4+4x=2xsq. +1 +2x

-xsq. +3 +2x=0

xsq.-3-2x=0. (divinding lhs and rhs by -1optional step)

now,you can found out the value of x by applying the quadratic formula or by the factorization method.