Question

What is the value for x=

Answer 1

Here you go. This is the answer to your question.

Answer 2

x = 2
`√(5)`

Explanation:

Since the 2 legs are congruent, both 6 then the triangle is isosceles.

The line from the vertex to the base is a perpendicular bisector, dividing the base into 2 parts of 4 units.

Using Pythagoras' identity in one of the right triangles.

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

x² + 4² = 6²

x² + 16 = 36 ( subtract 16 from both sides )

x² = 20 ( take the square root of both sides )

x =
`√(20)` =
`√(4(5))` = 2
`√(5)`