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*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

*15 points help easy question* Find the value of x in the isosceles triangle shown-example-1
User Wxtry
by
6.3k points

1 Answer

6 votes

Answer:

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

User Dan Mork
by
6.7k points