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Question

ABCD is a trapezium in which AB || DC. If ar(ABD)=24cm2 and AB = 8 cm, then height ofABC is

 



A

3 cm

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B

4 cm

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C

6 cm

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D

8 cm

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Solution

The correct option is C

6 cm


In trapezium ABCD, AB || DC

AC and BD are joined 
ar(ABD)=24cm2AB=8cm

ar(ABD)=12base×altitude=12AB×DM24=12×8×DMDM=24×28=6 cm
But DM = CL
Height of ABC=6 cm


Mathematics
RD Sharma
Standard IX

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