Question

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

Answer 1

Anwser:

The triangle is acute angled.

Step-by-step explanation:

The angles of the triangle must me less than 90 because if one angle is 90 then the sum of other to angles will be equal to 90 so the triangle is acute angled hope it helps it

Thank you

Answer 2

Answer:

Hey!! Here is the answer...

Step-by-step explanation:

∠A+∠B+∠C. = 180                    .... (I)        ...............(angle sum property)

Let ∠A<∠B+∠C.

Then,

2∠A<∠A+∠B+∠C

⇒2∠A<180                                ,...........from (i)

⇒∠A<90  

 Similarly, we obtain ∠B<90  and ∠C<90  

 => Each angle of the triangle is less than 90° and hence it is an acute-angled triangle.

Hope this helps........ : )