Question 183

If the measure of three angles of a triangle are in the ratio 2 : 3 : 5, then the triangle is :

Solution

Let the angles of the triangle be $$2x, 3x$$ and $$5x$$

According to angle sum property :

=> $$2x + 3x + 5x = 180$$°

=> $$x = \frac{180}{10} = 18$$°

$$\therefore$$ the angles are 36°, 54° and 90°

=> It is right angled triangle.

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