Question

In triangle ABC, DE || AB. If CD = 3 cm, EC = 4
cm, BE = 6 cm, then DA is equal to ....
1 7.5 cm
2 3 cm
3 4.5 cm
4 6 cm
2:46 pm​

Answer 1

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. (3) (Ans.)

Learn more :-

*जर △ ABC ~ △ DEF असून AB = 12 सेमी and DE = 14 सेमी. तर △ ABC आणि △ DEF यांच्या क्षेत्रफळाचे गुणोत्तर किती?.*

1️⃣ 49/9...

brainly.in/question/37096819

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

1️⃣ 7.5 cm

2️⃣ 3 cm

3️⃣ 4.5...

https://brainly.in/question/37020783

Answer 2

According the question, in Δ  ABC, DE || AB. If CD = 3 cm, EC = 4

cm, BE = 6 cm, then we have to find out DA is equal to= ?

From the property of Δ, we know 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.

DE || AB       ( given)

∴ $\frac{CD}{AD}$ =$\frac{CE}{EB}$

⇒ $\frac{3}{AD}$ = $\frac{4}{6}$ = $\frac{2}{3}$

⇒$2AD$ = 3 × 3= 9

⇒2DA = 9

⇒ DA = $\frac{9}{2}$

⇒ DA = 4.5 cm.

Hence DA = 4.5cm.

Ans :-3). 4.5 cm

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