7. In a right triangle ABC, AB = 6/3 cm, BC = 6 cm and AC = 12 cm. Z A is given by: (a) 90° (6) 45° (c) 30° (d) 60° [CBSE 2012
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Explanation:
In ΔABC
AB = 6√3 cm; AC = 12 cm; BC = 6 cm
AB2 = 108 cm2; AC2 = 144 cm2; BC2 = 36 cm2
AB2 + BC2 = (108 + 36) cm2
= 144 cm2
⇒ AC2 = AB2 +BC2
Pythagoras theorem satisfied. Thus, ∠ABC = 90°
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