In the right triangle below, an altitude is drawn to the hypotenuse. Solve for x. Can someone please explain this step by step?

x = 3√7

Step-by-step explanation:

From the right triangle given in the picture,

Altitude or height of the triangle (AD) = x

Base or hypotenuse of the given triangle (BC) = 16

Length of segment BD = 16 - 7 = 9

By using geometric mean theorem in the given triangle,

(AD)² = (BD)(CD)

x² = 9×7

x = √63

x = 3√7

step-by-step explanation:

1. practice, practice & more practice

2. review errors

3. master the key concepts

do not try to memorise the processes.

4. understand your doubts.

5. create a distraction free study environment

6. create a mathematical dictionary

7. apply maths to real world problems.