Question 131

If each angle of a triangle is less than the sum of the other two, then the triangle is

Solution

Let the angles of a triangle be $$\angle$$A , $$\angle$$B and $$\angle$$C

We know that, $$\angle$$A + $$\angle$$B + $$\angle$$C = 180

Acc to ques :

=> $$\angle$$C < ($$\angle$$A + $$\angle$$B)

=> $$\angle$$C < (180 - $$\angle$$C)

=> $$\angle$$C < 90

Similarly, $$\angle$$B < 90 and $$\angle$$A < 90

Since, all the angles of the triangle are less than 90, => It is acute angled triangle.

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