Answer:
d
Step-by-step explanation:
Using the Altitude- on- 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] → d
