Can a triangle be acute and obtuse at the same time?

Can a triangle be acute and obtuse at the same time?

Since an equilateral triangle has equal sides and angles, each angle measures 60°, which is acute. A triangle cannot be right-angled and obtuse angled at the same time. Since a right-angled triangle has one right angle, the other two angles are acute.

Can an isosceles triangle also be an obtuse triangle?

An obtuse triangle can also be called an obtuse-angled triangle. In general, an obtuse triangle can be a scalene triangle or isosceles triangle but not an equilateral triangle.

Do isosceles triangles have to be acute?

No, isosceles triangles are not always acute. An isosceles triangle has two of its sides and internal angles being equal.

What triangle is both isosceles and acute?

A triangle whose only two sides are equal is called an isosceles triangle. An isosceles triangle also has two equal angels. A triangle whose all angels are greater than 0∘ and less than 90∘ , i.e, all angels are acute is called an acute triangle. Given triangle has an angle of 36∘ and is both isosceles and acute.

Can a triangle have two acute angle?

The definition of acute angle is that the range for the angle has to be 0∘<α<90∘. Therefore, a triangle can have two acute angles as the sum of those two angles becomes less than 180∘.

Can an isosceles triangle be a right triangle?

Can an isosceles triangle be the right angle or scalene triangle? Yes, an isosceles can be right angle and scalene triangle. Isosceles Right Triangle has one of the angles exactly 90 degrees and two sides which is equal to each other. Since the two sides are equal which makes the corresponding angle congruent.

Do all isosceles triangles have two acute angles?

Correct answer: Explanation: A triangle must have at least two acute angles; if is obtuse, then and are the acute angles of . Since is isosceles, the Isosceles Triangle Theorem requires two of the angles to be congruent; they must be the two acute angles and .

Can an acute angle be isosceles?

An acute triangle has all angles measuring less than 90º. Note: It is possible for an acute triangle to also be scalene, isosceles, or equilateral. A right triangle has one right angle.

What is the difference between an acute triangle and an obtuse 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.

Can a triangle have 2 parallel sides?

Can a triangle have two parallel lines? Answer and Explanation: None. Parallel lines are lines that will never cross each other, no matter how long you make them.

What is the difference between acute and isosceles triangles?

Plain and simple. Acute angled triangles are triangles having only acute angles. Isosceles triangles are triangles having two equal angles where the single or lone angle can be acute, right or an obtuse angle.

What makes an isosceles triangle?

In geometry, an isosceles triangle is a triangle that has two sides of equal length. Sometimes it is specified as having exactly two sides of equal length, and sometimes as having at least two sides of equal length, the latter version thus including the equilateral triangle as a special case.

What are facts about the isosceles triangle?

The equal sides of an isosceles triangle are known as the ‘legs.’ The third and unequal side of an isosceles triangle is known as the ‘base.’ The angle made by the two equal sides of an isosceles triangle is known as the ‘ vertex angle.’ The angles that involve the base of an isosceles triangle are known as the ‘base angles.’

What are the rules of an isosceles triangle?

Rules for Isosceles and Equilateral Triangles. The given triangle is an equilateral, it is said to be equiangular. The two sides of the triangle are said to be congruent, and then the two sides of the triangles are the base angles of an isosceles triangles. The triangle is said to be an equiangular, it is represented as equilateral.