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

1.	If each angle of a triangle is less than the sum of the other two, show that the triangle is acute angled.
Answer» Given that each angle of a triangle is less than the sum of the other two Let the measure of angles be x, y and z From the above statement we can write as x > y + z y < x + z z < x + y Therefore triangle is an acute triangle.

If each angle of a triangle is less than the sum of the other two, show that the triangle is acute angled.

Answer»

Given that each angle of a triangle is less than the sum of the other two

Let the measure of angles be x, y and z

From the above statement we can write as

x > y + z

y < x + z

z < x + y

Therefore triangle is an acute triangle.