Question 61

If one angle of a triangle is equal to half the sum of the other two equal angles, then the triangle is

Solution

Let the angles of the triangle be $$\alpha, \alpha$$ and $$\beta$$

According to ques,

=> $$\beta=\frac{\alpha+\alpha}{2}$$

=> $$2\beta=2\alpha$$

=> $$\beta=\alpha$$

$$\because$$ All the angles of the triangle are equal, thus the triangle is equilateral triangle.

=> Ans - (C)

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