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

Answer:

x = 12

Step-by-step explanation:

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

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

($\frac{1}{2}$ x )² + 3² = ($\sqrt{45}$ )² , that is

$\frac{1}{4}$ x² + 9 = 45 ( subtract 9 from both sides )

$\frac{1}{4}$ x² = 36 ( multiply both sides by 4 )

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

x = $\sqrt{144}$ = 12