Q29 of 104 Page 204

In ΔABC, if m∠ABC = 90, m∠ACB = 45 and AC = 6, then area of ΔABC is …..


given ∠B = 90, ∠C = 45


by angle sum property


⇒ ∠A = 45


⇒ AB = BC


also AB2 + BC2 = AC2 (by (Pythagoras theorem)


⇒ AB√2 = AC


∵ AC = 6


⇒ AB =


⇒ AB = BC = 3√2


Area of triangle =


⇒ Area =


= 9

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