Respuesta :

Answer:

b

Step-by-step 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 = [tex]\sqrt{720}[/tex]

  = [tex]\sqrt{144(5)}[/tex] = [tex]\sqrt{144}[/tex] × [tex]\sqrt{5}[/tex] = 12[tex]\sqrt{5}[/tex] → b