Question

Solve for x.

a) 5√12

b) 12√5

c) 33

d) 6√5

Answer 1

b

Explanation:

Altitude- 0n- hypotenuse theorem

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

x² = (30 - 6) × 30 = 24 × 30 = 720 ( take square root of both sides )

x =
`√(720)`

=
`√(144(5))` =
`√(144)` ×
`√(5)` = 12
`√(5)` → b