Question: What Are Two Ways To Classify Triangles?

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..

What are 2 ways to classify triangles?

A triangle with three congruent sides. An isosceles triangle is a triangle in which exactly two sides are the same length. An obtuse triangle is a triangle with one angle that is greater than 90 degrees. A scalene triangle is a triangle in which all three sides are different lengths.

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 classify triangles by sides 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. A right triangle is a triangle with one 90 degree angle.

How do you classify triangles by angles and sides?

Classifying Triangles by Angles And an obtuse triangle contains one obtuse angle (greater than 90 degrees) and two acute angles. And an isosceles triangle has two congruent angles. Additionally, an equilateral triangle not only has three congruent sides, but also three congruent angles all measuring 60 degrees.

How do I find the length of a triangle?

FAQIf you have the hypotenuse, multiply it by sin(θ) to get the length of the side opposite to the angle.Alternatively, multiply the hypotenuse by cos(θ) to get the side adjacent to the angle.If you have the non-hypotenuse side adjacent to the angle, divide it by cos(θ) to get the length of the hypotenuse.More items…

How do you classify a 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. If two sides are the same length, then it is an isosceles triangle. If all three sides are the same length, then it is an equilateral triangle.

How do you classify an isosceles triangle?

Every isosceles triangle has an axis of symmetry along the perpendicular bisector of its base. The two angles opposite the legs are equal and are always acute, so the classification of the triangle as acute, right, or obtuse depends only on the angle between its two legs.

How can you classify triangles by the size of their angles?

An acute triangle has three angles that each measure less than 90 degrees. An equilateral triangle is a triangle in which all three sides are the same length. 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 are the 7 types of triangle?

To learn about and construct the seven types of triangles that exist in the world: equilateral, right isosceles, obtuse isosceles, acute isosceles, right scalene, obtuse scalene, and acute scalene.

What describes a triangle?

In geometry, a triangle is a closed, two-dimensional shape with three straight sides. A triangle is also a polygon.

What does an isosceles triangle add up to?

Every triangle has 180 degrees. An isosceles triangle has one vertex angle and two congruent base angles. Thus the vertex angle is 38 and the base angle is 71 and their sum is 109.

What are 3 ways to classify a triangle by its sides?

Classifying Triangles by Sidesscalene triangle-a triangle with no congruent sides.isosceles triangle-a triangle with at least 2 congruent sides (i.e. 2 or 3 congruent sides)equilateral triangle-a triangle with exactly 3 congruent sides.NOTE: Congruent sides means that the sides have the same length or measure.

What is scalene and isosceles triangle?

In an isosceles triangle, two sides are the same length. An isosceles triangle may be right, obtuse, or acute (see below). In a scalene triangle, none of the sides are the same length.

How do you classify congruent triangles?

ASA: If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent. SAS: If any two angles and the included side are the same in both triangles, then the triangles are congruent.

What is triangle and its types?

Triangles are shapes with three sides. … A triangle’s type depends on the length of its sides and the size of its angles (corners). There are three types of triangle based on the length of the sides: equilateral, isosceles, and scalene. The green lines mark the sides of equal (the same) length.

How do you find the angles of an isosceles triangle?

Both base angles are 70 degrees. The missing angle is not opposite the two marked sides and so, we add the two base angles together and then subtract this result from 180 to get our answer. The two base angles add to make 140°. Angles in an isosceles triangle add to 180°.