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What defines a triangle?

Updated: 12/15/2022
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A plane figure with three straight sides and three angles.

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Q: What defines a triangle?
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What defines a right triangle?

One of the triangle's angles is 90 degrees (a rightangle) and the two others are both 45 degrees. The three angles in a triangle must always (and will) add up to 180 degrees.


Why does a triangle with line symmetry have to be isosceles?

The basis of symmetry is that everything on one side of an imaginary line is the same as the other. This means that if you split a triangle down the middle by an imaginary line, one side of the triangle on both halves will be the same. This defines an isosceles triangle. An equilateral triangle also has line symmetry.


Is a triangle a figure formed by three segments connecting three noncollinear points?

This is a true statement that defines a triangle in geometry. However, there are many different types of triangles, such as obtuse, acute, scalene, right, equilateral, and isosceles triangles.


What is the sum of the measures of the three angles of a scalene triangle?

In a scalene triangle, the angle sum is still 180 degrees. What defines a scalene triangle is that it has three sides with different lengths, and therefore, also different angles. It can be a right triangle for example, with the angles 30, 90, and 60 degrees. It's angle sum always sums up to 180 as in all triangles. Note: It doesn't have to be a right triangle. It can be any kind of triangle as long as it has three different angles and sums up 180 degrees.


Does a right angle always have a square in the middle?

Yes. The square is a special form of the angle notation, which specifies a right angle. It is common to put it there, since it clearly defines that triangle as a right-angled and not just a very close one.

Related questions

Formulae of triangle?

The formula which defines a triangle is: Number of vertices = 3.


How could you determine if a set of three numbers defines a right triangle?

If they are a Pythagorean triple then they will form a right angle triangle


What defines a right triangle?

One of the triangle's angles is 90 degrees (a rightangle) and the two others are both 45 degrees. The three angles in a triangle must always (and will) add up to 180 degrees.


What defines a congruent triangle?

All corresponding sides and all interior angles are congruent. But in order to have a congruent triangle, we need two or more triangles that fit these requirements.


Why does a triangle with line symmetry have to be isosceles?

The basis of symmetry is that everything on one side of an imaginary line is the same as the other. This means that if you split a triangle down the middle by an imaginary line, one side of the triangle on both halves will be the same. This defines an isosceles triangle. An equilateral triangle also has line symmetry.


Is sternocleidomastoid in cats and humans?

Humans have a sternocleidomastoid muscle, but cats do not. In a cat, the sternomastoid muscle defines the anterior triangle of the neck.


What is the shape of the cross section in a square based pyramid?

It can be a square, a trapezium, a quadrilateral or a triangle - depending on the inclination of the plane which defines the cross section.


Is every equilateral triangle isosceles?

There are two definitions of isosceles, one of which defines it as a triangle with exactly two equal sides, which excludes equilateral triangles. The other definition is a triangle with two or more equal sides and therefore is inclusive of equilateral triangles.


Could there be a prefect circle existing in the universe?

Yes. Conservation of energy would produce a Pythagorean force triangle which defines a circle, with the Hypotenuse as the diameter.


Is a triangle a figure formed by three segments connecting three noncollinear points?

This is a true statement that defines a triangle in geometry. However, there are many different types of triangles, such as obtuse, acute, scalene, right, equilateral, and isosceles triangles.


What is a sine ratio?

The ratio of the side of a right-angled triangle opposite to a specified angle to the hypotenuse; when expressed as a real number between 0 and 1 it defines the sine of the angle


What is the sum of the measures of the three angles of a scalene triangle?

In a scalene triangle, the angle sum is still 180 degrees. What defines a scalene triangle is that it has three sides with different lengths, and therefore, also different angles. It can be a right triangle for example, with the angles 30, 90, and 60 degrees. It's angle sum always sums up to 180 as in all triangles. Note: It doesn't have to be a right triangle. It can be any kind of triangle as long as it has three different angles and sums up 180 degrees.