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  • The angles of a triangle are in the ratio 2 : 3 : 4. Find the value of each angle. What type of triangle is it?

The angles of a triangle are in the ratio 2 : 3 : 4. Find the value of each angle. What type of triangle is it?

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Angles of the triangle are in the ratio- 2 : 3 : 4
Let the angles are 2x, 3x, 4x then:
2x + 3x + 4x = 180^{\circ} (angle sum property)
9x = 180^{\circ}
x = 20^{\circ}
Then the angles of the triangle are:
2x = 40^{\circ}
3x = 60^{\circ}
4x = 80^{\circ}
This triangle is a scalene triangle as all the angles are of different measure.

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