Question

In the given figure, DE || BC such that AE = (1/4) AC. If AB = 6 cm, find AD.

Answer 1

SOLUTION :

Given, DE || BC and AE = (1/4)AC and AB = 6 cm.

In ΔADE & ΔABC

∠A = ∠A

[Common]

∠ADE = ∠ABC

[Corresponding angles]

Then, ΔADE∼ΔABC

[By AA similarity ]

AD/AB = AE/AC

[Since, triangles are similar, hence corresponding sides will be proportional]

AD/6 = 1/4AC/AC

AD/6 = 1/4

4 x AD = 6

AD = 6/4

AD = 1.5 cm

Hence, the length of  AD is 1.5 cm.

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Answer 2

Answer:

here is the answer ☝️☝️

Step-by-step explanation:

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