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Question
In ΔABC, AB = `6sqrt(3)` cm, AC = 12 cm and BC = 6 cm. Then, ∠B is ______.
Options
45°
60°
90°
120°
MCQ
Fill in the Blanks
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Solution
In ΔABC, AB = `6sqrt(3)` cm, AC = 12 cm and BC = 6 cm. Then, ∠B is 90°.
Explanation:
In ΔABC, AC is the longest side.
`AB^2 + BC^2 = {(6sqrt(3))^2 + 6^2} cm^2`
= (108 + 36) cm2
= 144 cm2
= (12 cm)2
= AC2
∴ By the converse of Pythagoras' theorem, we have ∠B = 90°.
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