triangle ABC, its AB= 6 root 3cm. Ac = 12cm and BC 6cm the angle B is?
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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°
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