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ICSE Class X Math 2013 Solved Paper

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In the given figure, AB and DE are perpendicular to BC.
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Question : 14
Total: 46
If AB=6‌cm,DE=4‌cm and AC=15 cm . Calculate CD .
Solution:  
‌‌ In ‌△ABC‌ and ‌△DEC‌, ‌
‌△ABC∼△DEC ‌‌ (proved in (i) part) ‌
‌∴‌‌‌
AB
DE
=‌
AC
CD
‌‌ Given : ‌AB=6‌cm,DE=4‌cm,AC=15 ‌cm,
‌∴‌‌‌
6
4
=‌
15
CD
‌⇒‌‌CD=‌
15×4
6
‌⇒‌‌CD=10‌cm.
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