Question

What is the length of the hypotenuse of the right triangle whose sides are `a = x-6 and b = x -3`?

Answer 1

Hypotenuse is `sqrt(2x^2-18x+45)`

Explanation:

As the sides are `a=x-6` and `b=x-3`,

its hypotenuse is given by `sqrt(a^2+b^2)`

= `sqrt((x-6)^2+(x-3)^2)`

= `sqrt(x^2-12x+36+x^2-6x+9)`

= `sqrt(2x^2-18x+45)`