Question

1. What is the value of x? Show all of your work.

Answer 1

x^2 + 6^2 = {sqrt (117)}^2
x^2 + 36 = 117
Solve for x.
x^2 = 81
x = 9

Answer 2

The triangle is a right angled triangle with
`B=90^o`. Now apply Pythagoras theorem,

`hypotenuse^2=opposite^2 + adjacent^2`

`image`

Thus, the value of
`x=9\;cm`.