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प्रश्न
In the figure, if DE∥BC, AD = 3cm, BD = 4cm and BC= 14 cm, then DE equals ______.
पर्याय
7cm
6cm
4cm
3cm
MCQ
रिकाम्या जागा भरा
उत्तर
In the figure, if DE∥BC, AD = 3cm, BD = 4cm and BC= 14 cm, then DE equals 6cm.
Explanation:
Since DE∥BC by the Basic Proportionality Theorem (Thales' Theorem):
So `"DE"/"BC"="AD"/"AB"`
AB = AD + BD = 3 + 4 = 7 cm
`"DE"/14 = 3/7`
`"DE" = 3/7 xx 14 = 6`cm
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