Question

The length of 3 sides of a right
angled triangle are (x-2) cm, (x) cm
and (x+2) cm. Then the value of x is?​

Answer 1

Answer:

x = 8

Step-by-step explanation:

We know,

in right angled triangle, (hypotenuse)² = (side₁)² + (side₂)²

=> HYPOTENUSE IS THE LONGEST SIDE OF RIGHT ANGLED TRIANGLE.

=>So,here (x+2) is hypotenuse.

$(x+2)^{2} = (x)^{2}+(x-2)^{2} \\ x^{2} + 4x+4 = x^{2} + [x^{2} -4x+4]\\ x^{2} +4x+4= 2x^{2} - 4x+4\\ 4x+4x= 2x^{2} - x^{2} \\ x^{2} = 8x\\ x=8$