Question

Plz help wit this
What is the value of x?

Answer 1

x = 15

Explanation:

Using the Altitude- on- Hypotenuse theorem

(leg of large Δ )² = (part of hypotenuse below it ) × ( whole hypotenuse )

x² = 9 × (9 + 16) = 9 × 25 = 225 ( take square root of both sides )

x =
`√(225)` = 15

Answer 2

I did this quickly, so please check the logic.

I find x = 15

Explanation:

See attached image. Note that I've defined 3 triangles and their Pythagorean equations. I also define a third line, RQ, as z. Rearrange the equations and substitute in a way that allows elimination of all variables except x.