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Maharashtra State BoardSSC (English Medium) 10th Standard

In ΔABC, ∠B = 90°, ∠C = 30°, AC = 12 cm, then find AB. - Geometry Mathematics 2

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Question

In ΔABC, ∠B = 90°, ∠C = 30°, AC = 12 cm, then find AB. 

Sum
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Solution

∠B = 90°, ∠C = 30°

∴ ∠A = 60°       ...(The remaining angle of △ABC)

∴ △ABC is a 30° − 60° − 90° triangle

AB = `1/2` AC      ... (Side opposite to 30°)

∴ AB = `1/2 xx 12` cm

∴ AB = 6 cm

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