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Question

In right angle ΔABC,AB=a,AC=b,BC=c and CD is r on AB. Find the value x=CD.

A
abc
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B
cab
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C
bca
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D
acb
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Solution

The correct option is C bca
Given right angle triangle ABC,AB=aAC=b and CD is perpendicular to AB
Then area of ΔABC=12AC×BC=12×b×c=12bc
Also, area of ΔABC=12AB×CD=12×a×x=12xa
12bc=12xa
xa=bc
x=bca

690074_514856_ans_99c9f8ee24d644b099aa41eeb6a841d0.png

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