Question

What is the greatest number of acute angles that a triangle can contain?

Answer 1

3 because you can have a 60 60 60 triangle

Answer 2

The greatest number of acute angle a triangle can contain are:

3

Explanation:

We know that a acute angle is a angle whose measure is less than 90°.

Now we know that the sum of all the angles of a triangle is 180°.

Now we have to find such 3 angles which are less than 90° and add up to 180°.

Let we consider a equilateral triangle.

In a equilateral triangle each angle measures 60°<90°.

and also:

60+60+60=180°.

Hence, the greatest number of acute angles a triangle can contain are:

3.