The value of x is 5 units.
We need to solve for x, from the given figure.
Two triangles are similar if their corresponding angles are congruent and corresponding sides are proportional.
Now, in ΔABC and ΔADE
∠B=∠D=90°
∠EAD=∠CAB (common angles)
So, from AA similarity ABC~ADE
Then, AB/AD=BC/DE
9/15=3/x
9X=15×3
X=15×3/9=5 units
Therefore, the value of x is 5 units.
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