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Question

In the given figure, find the value of x, if DEBC.
1085968_1b6ffe0f51d74a309540662b2b038a6f.png

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Solution

From the given figure, we know that:

ΔADE and ΔABC are similar triangles.

Using mid point theorem:

ADDB=AEEC=DEBC

Substituting the value of lengths from the given figure.

36=3.57=4.5x

12=12=4.5x

x=9

Hence, this is the answer.


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