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True. The reasoning behind it is this: the sum of the angles in any triangle will always equal 180o.

Equilateral (all sides & angles equal)

3x = 180

x = 60

Isosceles (two equal sides & angles) - can include Right triangle (90 + 45 + 45)

x + 2y = 180

y = (180-x)/2

No matter what x equals (acute, right, or obtuse), y will be less than 90 (acute) because half of 180 is 90 and half of anything less than 180 will be less than 90.

Scalene (all sides & angles different) - can include Right triangle (90 + x + y)

x + y + z = 180

If one angle is obtuse...

x > 90

180 - x < 90

y + z < 90

If together they are less than 90, then clearly both are less than 90 (acute)

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Q: All triangles have at least 2 acute angles?
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Continue Learning about Other Math

Which shapes have acute angles?

All triangles have at least two acute angles. Acute triangles have three. Rhomboids also have two acute angles.


Can a triangle have two acute angles?

Yes. In fact, all triangles MUST have at least two acute angles.


Can a triangle have 2 acute angles?

yesss, because in an equilateral triangle all the angles are 60 degrees!! Most triangles have acute angles! :) xx


How are acute angles obtuse angles and right angles alike?

They are alike in that they are all triangles when you close them. They are different because they are all different degree amounts.


Is a triangle obtuse scalene or triangle?

The word 'Triangle' is a collective noun for different shaped triangles. They are ;- Equilateral(Acute) ; all sides are the same length , and all angles are 60 degrees. Isosceles (Can be Obtuse) ; two sides are the same length and two angles are equal. Right-angles (only Acute) ; one of the angles is a right angle(90 degrees) Scalene ; All sides are different length and all angles are different values. May be either acute of obtuse. For ALL triangles, on a plane surface, the sum of the interior angles is ALWAYS 180 degrees. NB For triangles drawn on a 3-dimensional surface, ( a sphere ; the Earth) the angles may add to 360 degrees.

Related questions

What types of triangles have at least two acute angles?

All triangles need at least two acute angles


Which shapes have acute angles?

All triangles have at least two acute angles. Acute triangles have three. Rhomboids also have two acute angles.


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.


Do all acute triangles have only one acute angle?

No. All triangles MUST have at least two acute angles.


Do all triangles have at least to acute angles?

Yes.


Do all triangles have an acute angle?

All triangles have at least 2 acute angles. All 3 angles of a triangle will equal 180 degrees.


Do all triangles have at least two acute angles?

Yes


How many triangles have at least two acute angles?

All of them


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.


Can a triangle have two acute angles?

Yes. In fact, all triangles MUST have at least two acute angles.


Do triangles have at least one right angle?

Triangles can be classified by their sides or their angles. When classifying them by their angles, triangles are called: acute triangles - all three angles are acute (less than 90&ordm;) right triangles - one right angle (90&ordm;) and two acute angles obtuse triangles - one obtuse angle (larger than 90&ordm;) and two acute angles


What is a triangle with at least 2 acute angles?

All triangles have at least two acute angles so the question does not add any further value.