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Question

D and E are respectively the points on the sides AB and AC of a ΔABC such that AB = 5.6 cm. AD = 1.4 cm. AC = 7.2 cm and AE = 1.8 cm. Show that DEBC. [1 MARK]

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Solution

Solution: 1 Mark

We have,

AB = 5.6 cm, AD = 1.4 cm, AC = 7.2 cm and AE = 1.8 cm.

Now, ADDB=1.45.6=14

AEEC=1.87.2=14

ADDB=AEEC

Thus, DE divides sides AB and AC of ΔABC in the same ratio.

By the converse of Basic Proportionality Theorem, we have

DEBC


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