The three angles of a triangle are in the ratio 1:2:1 Find all the angles of the triangle - Maths - The Triangle and its Properties

Question

The three angles of a triangle are in the ratio 1:2:1 Find all the
angles of the triangle Classify the triangle in two different ways

Manbar Singh · Accepted Answer

Dear Student,

Please find below the solution to the asked query :

Let ABC be the ∆
Let ∠A = x; ∠B = 2x; ∠C = xNow, ∠A + ∠B + ∠C = 180°   Angle sum property⇒x+2x+x = 180⇒4x = 180⇒x = 1804 = 45So, ∠A = 45°; ∠B = 90°; ∠C = 45°Since, ∠A = ∠C, so ABC is a isosceles ∆
Since, ∠B = 90°, so ABC is a right angled ∆

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The three angles of a triangle are in the ratio 1:2:1. Find all the angles of the triangle. Classify the triangle in two different ways.