Respuesta :

mhanifa

Answer:

B. 10.9

Step-by-step 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

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