In ABC, DE || AB. If CD = 3 cm, EC = 4 cm, BE = 6 cm, then DA is equal to

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In ABC, DE || AB. If CD = 3 cm, EC = 4 cm, BE = 6 cm, then DA is equal to

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(a) 7.5 cm
(b) 3 cm
(c) 4.5 cm
(d) 6 cm

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Class 10 Maths Rohit QNA 3 years 2021-12-29T12:57:31+00:00 2021-12-29T12:57:31+00:00 1 Answer 11 views Enlightened 0

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Rohit QNA Enlightened · Answer 1 · 2021-12-29T12:58:04+00:00

Rohit QNA Enlightened

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2021-12-29T12:58:04+00:00 December 29, 2021 at 12:58 pm

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Ans: c
we know that,

When a line is drawn parallel to
one side of a triangle to intersect
the other two sides in distinct
points, then the other two sides are
divided in the same ratio.
given that,
DE || AB .
so,
→ CD / DA = CE / EB
putting values we get,
→ 3 / DA = 4 / 6
→ 3 / DA = 2 / 3
→ 2DA = 3 * 3
→ DA = 9 / 2

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In ABC, DE || AB. If CD = 3 cm, EC = 4 cm, BE = 6 cm, then DA is equal to