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Question

ABC is a right angled triangle, where B=90 and BDAC. If BD=8 cm,AD=4 cm; then CD is

A
24 cm
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B
16 cm
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C
32 cm
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D
8 cm
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Solution

The correct option is A 16 cm

Let C=θ
In CBD,tanθ=BDDC=8DC
BDA,tanABD=ADBD=48=12
Equating the two equations
8DC=12
DC=16cm

644304_605104_ans_03c9c754adfe45ffa0062258383f8394.png

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