Question

In triangle ABC, angle A=54°, angle C=96°, and AC=275. Find angle B, AB, and BC.

Use the law of sines

Answer 1

Answer:

If AB = AC

⇒ This is an isosceles triangle

⇒ Two of the angles are equal

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∠a = 44 (Given)

Sum of angles in a triangle is equal to 180°

∠a + ∠b + ∠c = 180

44 + ∠b + ∠c = 180

∠b + ∠c = 136

Since ∠b and ∠c are equal:

∠b = ∠c = 136 ÷ 2 = 68°

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Answer ∠b = 68° and ∠c = 68