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In figure, the value of k is:

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778

738

718

758

answer is A.

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Detailed Solution

Given a figure.
In fig. 38 , the value of k isa 778b 738c 718d 758

As we know that, AD and EC are heights of the same triangle,
Therefore, area with both heights will be equal.
Area of triangle =

\frac{1}{2} \times base \times height

Area of

ΔABC

with height AD = area of

ΔABC

with height CE

⇒ 12 × 14 × 11 = 12 × 16 × k

⇒ k = 15416

The value of k is

778 c m

.
Hence, option 1 is correct.

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