Question

*त्रिकोणABC मध्ये , DE || AB. जर CD = 3 से मी, EC = 4 से मी, BE = 6 से मी, तर DA= …………….*

1️⃣ 7.5 सेमी
2️⃣ 3 सेमी
3️⃣ 4.5 सेमी
4️⃣ 6 सेमी​

Answer 1

Answer:

4.5cm

Step-by-step explanation:

HERE IS YOUR ANSWER

1. Draw triangle ABC.
2. then draw DE parallel to AB.
3. mark the measurements which is given.
4. consider DA=x
5. we know that CD/AD=CE/BE
6. therefore 3/x=4/6
7. x=4.5cm

Answer 2

Given  : त्रिकोणABC मध्ये , DE || AB.

CD = 3 से मी, EC = 4 से मी, BE = 6 से मी,  

To Find : DA

1️⃣ 7.5 सेमी

2️⃣ 3 सेमी

3️⃣ 4.5 सेमी

4️⃣ 6 सेमी

Solution:

Thales's theorem :

If a straight line is drawn parallel to a side of a triangle, then it divides the other two sides proportionately.

Its also called BPT : Basic proportionality theorem.

DE || AB.

=> CD/DA = EC/ BE

=> 3/DA  = 4/6

=> DA = 3 x 6 / 4

=> DA = 18/4

=> DA = 9/2

=> DA = 4.5

DA =   4.5 सेमी

Option 3 is correct.

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