Question

13. What is x in the diagram?

Answer 1

x = 6
`√(3)`

Explanation:

Using the Altitude- on- Hypotenuse theorem

( leg of large triangle)² = (part of hypotenuse below it) × (whole hypotenuse) , so

x² = 9 × (9 + 3) = 9 × 12 = 108 ( take square root of both sides )

x =
`√(108)` =
`√(36(3))` =
`√(36)` ×
`√(3)` = 6
`√(3)`