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

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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