Question

In triangle ABC, angle B=90°, AB=6cm and AC=12cm. Find angle C and angle A

Answer 1

Step-by-step explanation:

Its a right angled triangle

So, angle A + angle C = 90°

So we use Pythagorean theorem where

AC² = AB² + BC²

(12)² = (6)² + BC²

BC² = 108

BC = √108 = 6√3

sinA = 6√3/12

sinA = √3/2 and sin60° = √3/2

So angle A = 60°

angle A = 60°angle C = 90° - 60°

angle A = 60°angle C = 90° - 60° angle C = 30°

(Hope this helps)

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