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

Answer:
x=8
Step-by-step explanation:
This isosceles triangle is composed of two right triangles with sides 8,[tex]\sqrt{80}[/tex] , and y
As we have two sides of a right triangle, we can find the third using the Pythagorean Theorem
[tex](\sqrt{80} )^2=8^2+y^2\\\\80=64+y^2\\\\y^2=16\\\\y=4[/tex]
As this is an isosceles triangle, these two right triangles are equal, this means that x=2y
Therefore, x=2(4)=8