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

Answer:
x=4
Explanation:
since it is an isosceles triangle, line x splits the base into 2 equal parts.
using a smaller triangle we know the sides are 5,3,x
now use Pythagorean theorem
[tex]5=\sqrt{x^{2} +3^{2} }[/tex]
[tex]x=\sqrt{5^{2}-3^{2} }[/tex]
x = [tex]\sqrt{16}[/tex]
x = 4, -4
since length cannot be negative, x = 4