Why must you have at least 2 acute angles?

Anonymous

∙ 15y ago

Updated: 8/18/2019

Sum of all three angles of a triangle is 180 degrees.

If two of them are not acute, they are greater than or equal to 90 degrees each. In that case the sum of two angles exceeds 180 degrees. That contradicts the requirement of the first sentence.

Wiki User

∙ 15y ago

What else can I help you with?

What is the least number of acute angles that a triangle have?

Every triangle must have either 2 or else 3 acute angles. The least possible is 2.

What is the least number of acute angles that a traingle can have?

Every triangle must have either 2 or 3 acute angles.

How at least acute angles can be there in triangle?

Total angles 180 degrees. Therefore there cannot be two angles of 90 degrees or more. Therefore there must be at least 2 acute angles.

How many acute angles does an obtuse triangle have?

Every triangle must have at least 2 acute angles, otherwise it is impossible to make the 3 sides connect.

What are the least number of acute angles that a triangle can have?

It must have at least 2. We can prove this by contradiction. If there is one or less acute angle, there must be two or more angles of 90 degrees or more. This adds to over 180 degrees. Since triangles can only have a total of 180 degrees, this violates the definition of a triantle, so there must be at least two acute angles.

Can an triangle have exactly one acute angle?

No because a triangle must have at least 2 acute angles along with a 3rd angle in which all 3 angles must add up to 180 degrees.

What is the least number of acute angles that a triangle can have?

It is 2

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

Does an triangle have at least 2 acute angles?

Yes.

What is least number of acute angles a triangle can have?

What is least number of acute angles that a triangle can have?

It is 2

What is the least number of acute angles that can be in a triangle?

2 is.

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