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

Let the angles of the triangles be

So,

As we know the sum of internal angles of a triangle is 180. so,

Hence the angles of the triangles are .

On the Basis of sides, the triangle is isosceles triangle as two sides of the triangle are equal.

On the Basis of angle, the triangle is Right-Angled Triangle as it has one angle equal to 90 degrees.

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