Question

These two
triangles are
congruent.
Solve for x.
15
9

Answer 1

12

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.