In ∆ABC, ∠C = ∠A, BC = 4 cm and AC = 5 cm. Then, AB = ?

Question:

In ABC, ∠C = ∠A, BC = 4 cm and AC = 5 cm. Then, AB = ?
(a) 4 cm
(b) 5 cm
(c) 8 cm
(d) 2.5 cm

Solution:

Given: In ABC, ∠C = ∠A, BC = 4 cm and AC = 5 cm.

In ABC,

As, ∠C = ∠A                   (Given)

Therefore, $B C=A B$   (Sides opposite to equal angles.)

$\Rightarrow B C=A B=4 \mathrm{~cm}$

Hence, the correct option is (a).

 

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