Question

Urgent. Refer to the picture and Solve for x

Answer 1

Label 4 points on the largest right triangle, A, B, C, D. There is a theorem (right triangle altitude theorem or geometric mean theorem) that establishes similarity between the 3 triangles in the image.

$\Delta ABC\sim\Delta ADB$

So corresponding sides occur proportionally to one another such that

$\dfrac{AC}{AB}=\dfrac{AB}{AD}\implies\dfrac x9=\dfrac{16}x$

$\implies x^2=144\implies x=12$