Question

What is X? And if you can't see Y, it's 18

Answer 1

`x=9 √(3)`

Explanation:

The image is attached below.

Given AB = 9

BC = x

AC = y = 18

Note that the given triangle is a right angled triangle.

We know that Pythagoras theorem states that in a right angle hypotenuse is equal to the sum of the squares of other two sides.

Using Pythagoras thereom,

`A C^(2)=A B^(2)+B C^(2)`

`18^(2)=9^(2)+x^(2)`

`324=81+x^(2)`

`x^(2)=324-81`

`$x^(2)=243$`

Taking square root on both sides,

`x=√(9 * 9 * 3)`

`$x=9 √(3)$`

Hence, the value of x is
`9 √(3)`.