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In the accompanying diagram, ARST is a right triangle, SU is the altitude to hypotenuse RT, RU = 4, and UT = 12. What is the length of RS? A 8 S B 48 R T C 160 4 U 12 D 24

In the accompanying diagram, ARST is a right triangle, SU is the altitude to hypotenuse RT, RU = 4, and UT = 12. What is the length of RS? A 8 S B 48 R T C 160 4 U 12 D 24
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In the accompanying diagram, ARST is a right triangle, SU is the altitude to hypotenuse RT, RU = 4, and UT = 12. What is the length of RS? A 8 S B 48 R T C 160 4 U 12 D 24

In the accompanying diagram, ARST is a right triangle, SU is the altitude to hypotenuse-example-1
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User Opensourcegeek
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7.6k points

1 Answer

6 votes

RU / leg = leg /RT

4/RS = RS/16

RS^2 = 16 x 4

RS = √64 = 8

RS = 8

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User Johansson
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8.3k points
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