Question

What are the steps I need to do to get the answer?

Answer 1

B. 10.9

Explanation:

Area of triangle= 1/2*24*h

∠N=90° ⇒ Area of triangle= 1/2*MN*ON

MN²= h²+(24-7)²

ON²= h²+7²

• 24h=MN*ON
• 24h= √h²+(24-7)²*√h²+7²
• (24h)²=(h²+17²)(h²+7²)

• h²=k

• 576k=k²+289k+49k+289*49
• k²-238k+14161=0

• k=119

• h²=119
• h=√119= 10.9