Question

The sides (in cm) of a right triangle are x-1, x and x + 1. Find the sides of triangle.​

Answer 1

Answer:

Sides of a triangle 3,4 and 5.

Step-by-step explanation:

The sides of a triangle given are x−1,x and x+1.

As it is a right angle triangle, we apply Pythagoras theorem

therefore,

$(x-1)^{2}+x^{2} =(x+1)^{2}$

$x^{2}+1-2x+x^{2} =x^{2} +1+2x$

$x^{2}-4x=0\\ x(x-4)=0$

x=4 ,x=0

x=0 cannot be the side of a triangle.

One side is 4.

Other two sides

x−1=4−1=3

x+1=4+1=5

Sides of a triangle 3,4 and 5.