Find the value of x in the isosceles triangle shown

Question

asked Aug 28, 2021 42.4k views

2 Answers

Georgiana · Answer 1 · 2021-09-02T04:24:47+0000

Answer:

x =
√(13)

Explanation:

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

Consider the right triangle on the left with base 2

Using Pythagoras' identity

The square on the hypotenuse (x) is equal to the sum of the squares on the other 2 sides, that is

x² = 2² + 3² = 4 + 9 = 13 ( take the square root of both sides )

x =
√(13)