If AD=3 cm, AB=9 cm, BC=6 cm, then DE= (a) 4 cm (b) 3 cm (c) 2 cm (d) 1 cm
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In a triangle, if square of one side is equal to the sum of the squares of the other two sides, then the angle opposite the first side is a right angle.
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°
Therefore, option (C) 90° is the correct answer.
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