Question: Is It Possible To Have An Obtuse Acute Triangle?

Can a triangle be both obtuse and right?

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.

Therefore, an obtuse-angled triangle can never have a right angle; and vice versa.

The side opposite the obtuse angle in the triangle is the longest..

What is an acute obtuse and right triangle?

A right triangle has one angle that’s 90° and a corner that looks like an L. Obtuse triangles have one angle that’s greater than 90°. In acute triangles, all the angles are less than 90°.

How do you classify a triangle by its side lengths?

Equilateral triangle: A triangle with three sides of equal length. Isosceles triangle: A triangle with at least two sides of equal length. Line of symmetry: A line through a figure that creates two halves that match exactly. Obtuse angle: An angle with a measure greater than 90 degrees but less than 180 degrees.

How do you find if a triangle is obtuse or acute?

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.

What is a true triangle?

A triangle has three sides, three vertices, and three angles. The sum of the three interior angles of a triangle is always 180°. The sum of the length of two sides of a triangle is always greater than the length of the third side. A triangle with vertices P, Q, and R is denoted as △PQR.

What are the sides of an acute triangle?

Any triangle in which the Euler line is parallel to one side is an acute triangle. Acute triangles can be isosceles, equilateral, or scalene. The longest side of an acute triangle is opposite the largest angle.

Can a triangle have both an acute and right angle?

Question 945360: A triangle cannot have both an acute angle and a right angle? In a right triangle, BOTH of the other angles MUST be acute. An obtuse angle (greater than 90 degrees) would make the sum of the angles greater than 180 degrees, which is impossible.

How do you determine a triangle by its side lengths?

Classifying Triangles You can determine whether a triangle is acute, right, or obtuse by its side lengths. In TABC with longest side c: If c2 a2 b2, then TABC is acute. If c2 a2 b2, then TABC is right.

Can an obtuse triangle have 2 congruent sides?

A triangle that has one obtuse angle is called an obtuse triangle. … When a triangle has two congruent sides it is called an isosceles triangle. The angles opposite to the two sides of the same length are congruent. A triangle without any congruent sides or angles is called a scalene triangle.

Why can’t a right triangle be obtuse?

A right triangle cannot be obtuse because of the sizes of the angles therein. Any triangle has three sides, three angles, and three angles that equal…

How do you classify a triangle by its sides?

Classifying Triangles by SidesIf all the sides are equal (the same length) then the triangle is EQUILATERAL. … If 2 sides of the triangle are the same length then the triangles is an ISOSCELES triangle. … If all three sides of the triangle are a different length then the triangle is a SCALENE triangle.

What are the 3 sides of a triangle?

In a right triangle, the hypotenuse is the longest side, an “opposite” side is the one across from a given angle, and an “adjacent” side is next to a given angle. We use special words to describe the sides of right triangles.

What do 2 lines on a triangle mean?

An isosceles triangle has 2 sides of equal length. The dashes on the lines show they are equal in length. The angles at the base of the equal sides are equal. An equilateral triangle has 3 sides of equal length. The dashes on the lines show they are equal in length.

Can a triangle be obtuse and acute?

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.