Question

Below is a right-angled triangle. The shorter leg measures x, the longer leg measures x+1, and the hypotenuse measures x+2.
Calculate the value of X.

Answer 1

Answer:

3 or -1

Step-by-step explanation:

according to pythagoras theorem,

hypotenuse²=base²+height²

(x+2)²=x²+(x+1)²

x²+4x+4=x²+x²+2x+1

x²+4x+4=2x²+2x+1

x²+4x+4-2x²-2x-1=0

-x²+2x+3=0

x²-2x-3=0

x²-3x+x-3=0

x(x-3)+1(x-3)=0

(x-3)(x+1)=0

x=3 or x=-1