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In the above ...

Question

In the above figure ∆ABC~∆ADE. Given that AD=x cm, DB =x-3 cm, AE=4cm, EC=3 cm. What is the value of x?

14 cm

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12 cm

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6 cm

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10 cm

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Solution

The correct option is B
12 cm

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Similar questions

Δ A B C

D E I I B C

A D = 2.5 c m

D B = 5 c m

A E = 3 c m

E C = x c m

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D E ∥ B C

A D = x c m, D B = (x - 2) c m, A E = (x + 2) c m

E C = (x - 1) c m

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D E ∥ B C, A D = 2 c m, D B = 3 c m

A E = 1.6 c m

D and E are points on the sides AB and AC respectively of a $Δ A B C$ such that DE || BC
Find the value of x, when

(i) AD = x cm, DB = (x - 2) cm,

AE = (x + 2) cm and EC = (x - 1) cm.

(ii) AD = 4 cm, DB = (x - 4) cm, AE = 8 cm and EC = (3x - 19) cm.

(iii) AD = (7x - 4) cm, AE = (5x - 2) cm, DB = (3x + 4 ) cm and EC = 3x cm.

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