if the angle<A,<B and <C of a triangle ABC are in the ratio 1:2:3, find them. what sort of a triangle is this
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Answer:
let the angles of the ΔABC=x, 2x and 3x
by angle sum property of triangle,
sum of all angles of a triangle=180°
∠A+∠B+∠C=180°
x+2x+3x=180°
6x=180°⇒x=30°
⇒∠A=30°
⇒∠B=2×30°=60°
⇒∠C=3×30°=90°
∵One angle of the ΔABC is 90° the triangle is a right angled triangle
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