Answer:
12
Step-by-step explanation:
Solution:
Here, since both the triangles are congruent, the corresponding sides are equal.
So, we have,
For the right angled triangle,
Hypotenuse (h) = 15
Perpendicular (p) = 9
base (b) = x
Now, from the pythagoras theorem,
h² = p² + b²
15² = 9² + x²
225 - 81 = x²
144 = x²
12² = x²
Canceling the sqaure on both sides
we get,
x = 12, which is the required answer.
