Question

*15 points help easy question*

Find the value of x in the isosceles triangle shown below.
X=square root of 135
X=12
X=6
X=square root of 54

Answer 1

x = 12

Explanation:

The segment from the vertex to the base is a perpendicular bisector.

Using Pythagoras' identity on the right triangle on the right.

(
`(1)/(2)` x )² + 3² = (
`√(45)` )² , that is

`(1)/(4)` x² + 9 = 45 ( subtract 9 from both sides )

`(1)/(4)` x² = 36 ( multiply both sides by 4 )

x² = 144 ( take the square root of both sides )

x =
`√(144)` = 12