Find the value of x in the isosceles triangle show below.

x = 8

Step-by-step explanation:

Since the triangle is isosceles then the segment from the vertex is a perpendicular bisector, dividing the triangle into 2 right triangles.

Using Pythagoras' identity on the right triangle on the left

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

( x )² + 8² = ()²

x² + 64 = 80 ( subtract 64 from both sides )

x² = 16 ( multiply both sides by 4 )

x² = 64 ( take the square root of both sides )

x = = 8 ← positive value only required

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Step-by-step explanation:

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