Question

Given the image below. Solve for y.

Answer 1

y = 3
`√(5)`

Explanation:

using the Altitude- on- Hypotenuse theorem

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

y² = 3 × (3 + 12) = 3 × 15 = 45 ( take square root of both sides )

y =
`√(45)` =
`√(9(5))` =
`√(9)` ×
`√(5)` = 3
`√(5)`