The three angles of a triangle ABC are in the ratio 1:2:1 Find all the angles of the triangle Classify the triangle in two different ways.
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Let ABC be the D
Let ∠A=x
∠B=2x
∠C=x
∠A+∠B+∠C=180
4x=180
x=45
∠A=45
∠B=90
∠C=45
Since ∠A=∠C
ABC is isosceles D⁴.
Since ∠B=90
ABC is Right angled at B.
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