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ICSE Class X Math 2014 Solved Paper

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In △ABC,∠ABC=∠DAC.AB=8‌cm,AC= 4‌cm,AD=5‌cm.
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Question : 27
Total: 52
Find area of △ACD : area of △ABC .
Solution:  

∵‌‌△ACD‌∼△ABC
∴‌
area(△ACD)
area(△ABC)
‌=‌
AC2
BC2
‌=(‌
AC
BC
)2=(‌
4
6.4
)2=(‌
5
8
)2
‌ area ‌(△ACD)‌:area(△ABC)=25:64
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