each one is less than 90 degrees. An acute triangle may be equilateral, isosceles, or
scalene
.
Can a scalene triangle be an acute triangle?
A scalene triangle can be
acute-angled
or obtuse-angled or right-angled.
What triangles can be scalene?
A triangle is
scalene if all of its three sides are different (in which case, the three angles are also different)
. If two of its sides are equal, a triangle is called isosceles. A triangle with all three equal sides is called equilateral.
What can an acute triangle be?
An acute triangle (or acute-angled triangle) is a triangle with
three acute angles (less than 90°)
. … Since a triangle’s angles must sum to 180° in Euclidean geometry, no Euclidean triangle can have more than one obtuse angle.
Does an acute triangle have equal sides?
An acute triangle has a measure of its angle always between 0 degrees to 90 degrees. The
measure of its three sides can be equal, unequal, or any two sides equal
. When an acute triangle has three angles measure less than 90 degrees with all three equal sides it is termed as an equilateral acute triangle.
What is a scalene triangle example?
Scalene triangles are triangles with sides of different lengths or simply a triangle with noncongruent sides. For example,
a triangle of side lengths of 2 cm, 3 cm, and 4 cm
can be considered a scalene triangle.
How do you prove a scalene triangle?
When classifying a triangle by its sides, you should look to see
if any of the sides are the same length
. If no sides are the same length, then it is a scalene triangle.
How do you know if a triangle is acute or obtuse?
An
acute triangle has three angles that each measure less than
90 degrees. An obtuse triangle is a triangle with one angle that is greater than 90 degrees. A right triangle is a triangle with one 90 degree angle.
What does a scalene acute triangle look like?
It is also known as equiangular triangle. Two angles of an isosceles acute triangle that measure the same, just like its two sides. All three sides and internal angles
What are the characteristics of an acute scalene triangle?
- Three intersecting line segments.
- Three acute angles.
- None of the sides are equal.
- Thus, all angles have different measures.
What do you call a triangle with two equal sides?
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. It is easy to work out the missing angles of an isosceles triangle by looking for the angles that should be equal.
What is a triangle with no congruent sides called?
Scalene triangle
Can a triangle have two right angles?
No, a triangle can never have 2 right angles
. A triangle has exactly 3 sides and the sum of interior angles sum up to 180°. So, if a triangle has two right angles, the third angle will have to be 0 degrees which means the third side will overlap with the other side.
Does a scalene triangle have 3 equal sides?
A triangle with all sides equal is called an equilateral triangle, and a triangle with
no sides equal
is called a scalene triangle. An equilateral triangle is therefore a special case of an isosceles triangle having not just two, but all three sides and angles equal.
Can a scalene triangle have a right angle?
A scalene triangle can have
a right angle
, or an angle with measure 90°, but not all scalene triangles have a right angle.
Can a triangle be scalene and obtuse?
An obtuse-angled triangle can be a scalene triangle or isosceles triangle
but will never be equilateral since an equilateral triangle has equal sides and angles where each angle measures 60°.
