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In ABC DE || parallel . If CD = 3, EC = 4 cm , BE = 6 CM ,then DA is equals to

Posted by Susmita Bhattacharya 4 years, 3 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 4 years, 3 months ago

Given :-

In triangle ABC, DE || AB.
CD = 3 cm.
EC = 4 cm.
BE = 6 cm.

To Find :-

DA = ?

Solution :-

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

→ DA = 4.5 cm.

0Thank You

ANSWER

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