Can a triangle have more than one acute?

Can a triangle have more than one acute?

A triangle can never have only one acute angle. If a triangle has 1 acute angle, the other angles will be either right angles or obtuse angles which is not possible as the sum of interior angles of a triangle is always 180°. So, every triangle needs to have at least 2 acute angles.

How many acute angles Can a triangle have *?

Now, we will subtract 90∘ from both sides. Thus, both of the remaining two angles must have a measure less than 90∘ and therefore must be acute. Hence, the right triangle can have only two acute angles.

Can a triangle ever have more than one acute exterior angle explain?

C B Can the exterior angles of a triangle be acute? Yes If the interior angle of the triangle is obtuse then the outside angle will be acute. Conversely, if the interior angle is acute then the exterior angle of the triangle will be obtuse.

How many acute triangle are there?

three acute angles
There are always three acute angles in an acute triangle. The definition of an acute triangle is that it is a triangle in which all angles are less…

Can a triangle have 3 acute angles?

An acute triangle (or acute-angled triangle) is a triangle with three acute angles (less than 90°). An obtuse triangle (or obtuse-angled triangle) is a triangle with one obtuse angle (greater than 90°) and two acute angles.

Can a triangle have two acute interior angles?

Yes, all triangles have at least two acute angles. Acute angles are angles that measure less than 90 degrees, while obtuse angles measure greater than…

Why does a triangle have 3 acute angles?

If any angle becomes 90 degrees or more, it is not an acute triangle. In any triangle, two of the interior angles are always acute (less than 90 degrees)*, so there are three possibilities for the third angle: Less than 90° – all three angles are acute and so the triangle is acute.

Can a right triangle have only one acute angle?

A right triangle can, and must, have exactly two acute angles. To see this, just remember that the sum of the angles of a triangle must be 180∘ . As a right triangle has one angle equal to 90∘ , this means the sum of the remaining two angles must be 180∘−90∘=90∘ .

Can triangle have two right angles?

There can never be two or more right angles in a triangle. A triangle has three sides, and the interior angles add up to 180 degrees. If a triangle has two right angles, the third angle must be 0 degrees, implying that the third side would overlap the other.

Which triangle has 3 acute?

acute triangle
An acute triangle (or acute-angled triangle) is a triangle with three acute angles (less than 90°). An obtuse triangle (or obtuse-angled triangle) is a triangle with one obtuse angle (greater than 90°) and two acute angles.

Which triangle has two sides?

isosceles triangle
An isosceles triangle can be drawn in many different ways. It can be drawn to have two equal sides and two equal angles or with two acute angles and one obtuse angle.

Which triangle is acute?

equilateral triangle
An acute triangle is a triangle in which each angle is an acute angle. Any triangle which is not acute is either a right triangle or an obtuse triangle. All acute triangle angles are less then 90 degrees. For example, an equilateral triangle is always acute, since all angles (which are 60) are all less than 90.