Question

HeLp would be appreciated for the image below :))

Answer 1

A

Explanation:

The line from the vertex to the base is a perpendicular bisector and divides the isosceles triangle into 2 right triangles.

Using Pythagoras' identity in either of the 2 right triangles, then

(
`(1)/(2)` x )² + 3² = (
`√(45)` )²

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

`(1)/(4)` x² = 36 ( multiply both sides by 4 to clear the fraction )

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

x =
`√(144)` = 12 → A