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Q: What is the least number of acute angles that a triangle can have?
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What does a triangle and a rhombus have in common?

They are polygons. They have at least two acute angles.


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.


Do all triangles have two acute angles?

INCORRECT: No because there is a obtuse triangle and a right triangleCORRECT ANSWERYes all triangles have at least two acute angles. Obtuse triangles and right triangles also have at least two acute angles. They are called obtuse triangles and right triangles because by definition they are triangles with ONE obtuse angle and ONE right angle. So therefore they both have 2 acute angles. Also for an acute triangle, it would have 3 acute angles.


If two angles of a triangle are acute then the third must be?

Actually, you cannot conclude anything this way, at least not in regular geometry. For instance, in a "perfect triangle," all 3 angles are acute. In a right triangle, one is a right angle and the other two are acute. It is also possible to have an obtuse angle and two acute angles. The thing is, the 3 angles must add up to 180 degrees.


Is there a triangle with 3 acute angles?

Yes. An equilateral triangle has 3 equal sides and as such, has 3 angles that are less than 90 degrees, or acute angles. Also, an isosceles triangle which has at least 2 equal sides can have a third side that is shorter than the two equal sides, creating a triangle with 3 acute angles. However, if the third side is made longer than the 2 equal sides, one angle becomes greater than 90 degrees, or obtuse. So, all equilateral triangles are have 3 acute angles, but only some isosceles triangles have 3 acute angles, those having one side shorter than the two equal sides.

Related questions

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

Two.


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

2


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

2


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.


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.


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

three


Are the the angles in a triangle acute?

In plane geometry at least two angles must be acute in a triangle.


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

All acute triangles have 3 interior angles and 3 exterior angles. This is true for all triangles.


Can a triangle have an acute angle?

Yes it can. A triangle must have at least two acute angles.


What triangle is never acute of obtuse?

No triangle is never acute in the sense that every triangle has at least two acute angles.