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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