Answer:
x = 12
Step-by-step explanation:
In an isosceles triangle, perpendicular dropped from the vertex to its base(which is unequal side) bisects the base.
Therefore, by Pythagoras theorem:
[tex] \frac{x}{2} = \sqrt{ {10}^{2} - {8}^{2} } \\ = \sqrt{100 - 64} \\ = \sqrt{36} \\ = 6 \\ \implies \: x = 2 \times 6 = 12[/tex]
