SOLUTION: if each angle in a triangle is less than the sum of other two triangles then show that it is a acute angled triangle?

SOLUTION: if each angle in a triangle is less than the sum of other two triangles then show that it is a acute angled triangle?

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Question 874424: if each angle in a triangle is less than the sum of other two triangles then show that it is a acute angled triangle?
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Suppose the angles have measures A,B,C with

and

.

We know that

(given). Adding C to both sides,

. Since C is the largest of the three angles, the triangle is acute.
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