Question

Solve for exponential the value of X

Answer 1

${\qquad\qquad\huge\underline{{\sf Answer}}}$

The two triangles are right angled Triangles and they have one common angle. so the two triangles are similar to each other.

By using similarity, ratio of their corresponding sides must be equal as well~

$\qquad \sf \dashrightarrow \: \cfrac{1}{2 + 1} = \cfrac{3}{x}$

$\qquad \sf \dashrightarrow \: \cfrac{1}{3} = \cfrac{3}{x}$

$\qquad \sf \dashrightarrow \: x = 3 \times 3$

$\qquad \sf \dashrightarrow \: x = 9 \: \: units$