SOLUTION: A right triangle has leg lengths of 12 cm and 16 cm. A line is drawn from the vertex corresponding to the right angle perpendicular to the hypotenuse. How long is this line segment
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Question 471809: A right triangle has leg lengths of 12 cm and 16 cm. A line is drawn from the vertex corresponding to the right angle perpendicular to the hypotenuse. How long is this line segment? choose the answer and explain the reason to choose your response
9.6 cm^2
19.2 cm^2
0.9 cm^2
5.8 cm^2 Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! A right triangle has leg lengths of 12 cm and 16 cm. A line is drawn from the vertex corresponding to the right angle perpendicular to the hypotenuse. How long is this line segment? choose the answer and explain the reason to choose your response
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Draw the figure.
Let the drawm line segment be "x".
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You have two similar right triangles.
Proportion:
x/12 = 16/sqrt(16^2+12^2)
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x = (12*16)/sqrt(16^2+12^2)
x = 9.6 cm
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Cheers,
Stan H.
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9.6 cm
19.2 cm
0.9 cm
5.8 cm
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