SOLUTION: TEN is a right triangle with Angle T a right angle and TO an altitude to the hypotenuse. If TO= 12, OE is 7 more than NO, find NO and OE.
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-> SOLUTION: TEN is a right triangle with Angle T a right angle and TO an altitude to the hypotenuse. If TO= 12, OE is 7 more than NO, find NO and OE.
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Question 1072820: TEN is a right triangle with Angle T a right angle and TO an altitude to the hypotenuse. If TO= 12, OE is 7 more than NO, find NO and OE. Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website! We use the altitude on hypotenuse theorem
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Triangles NOT and TOE are similar to triangle TEN and to each other
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let h be the altitude to the hypotenuse
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let x be the length of NO, then OE = x + 7
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h^2 = x * (x + 7)
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12^2 = x^2 +7x
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x^2 +7x - 144 = 0
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(x + 16) * (x - 9) = 0
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x = -16 or 9
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we reject the negative value solution
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NO = 9 and OE = 9 + 7 = 16
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