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
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.