What is the definition of an equilateral triangle?

Answer: The best definition of a triangle is a figure formed by three segments connecting three noncollinear points (option A)

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Also asked, which is the best definition of an equilateral triangle?

An equilateral triangle is one in which all three sides are congruent (same length). Because it also has the property that all three interior angles are equal, it really the same thing as an equiangular triangle. See Equiangular triangles.

Subsequently, question is, what are the properties of equilateral triangles? An equilateral triangle has all the three sides equal and all angles equal to 60°. All the angles in an equilateral triangle are congruent.

Keeping this in view, what is an example of a equilateral triangle?

Here's an example of an equilateral triangle: You'll notice that along with this triangle's sides, its three angles are also all equal. Since the sum of a triangle's angles is always 180 degrees, each angle in an equilateral triangle must measure 60 degrees.

Is a right equilateral triangle possible?

An equilateral triangle can not be a right triangle. This makes sense because the angle measures in any triangle, not only an equilateral triangle, equal 180 degrees. In a right triangle, however, the 3 angles can NOT be congruent. This is because in a right triangle, one angle equals 90 degrees.

Related Question Answers

What is a scalene triangle?

A scalene triangle is a triangle that has three unequal sides, such as those illustrated above. SEE ALSO: Acute Triangle, Equilateral Triangle, Isosceles Triangle, Obtuse Triangle, Triangle. CITE THIS AS: Weisstein, Eric W. "

How do you find the equilateral triangle?

Equilateral triangles have sides of all equal length and angles of 60°. To find the area, we can first find the height. To find the height, we can draw an altitude to one of the sides in order to split the triangle into two equal 30-60-90 triangles.

What makes a right triangle?

A right triangle (American English) or right-angled triangle (British English) is a triangle in which one angle is a right angle (that is, a 90-degree angle). The side opposite the right angle is called the hypotenuse (side c in the figure).

How do you find the height in a triangle?

If you know the base and area of the triangle, you can divide the base by 2, then divide that by the area to find the height. To find the height of an equilateral triangle, use the Pythagorean Theorem, a^2 + b^2 = c^2.

What does it mean to be congruent?

The adjective congruent fits when two shapes are the same in shape and size. If you lay two congruent triangles on each other, they would match up exactly. Congruent comes from the Latin verb congruere "to come together, correspond with." Figuratively, the word describes something that is similar in character or type.

Is a triangle a regular polygon?

A regular polygon is a polygon where all of the sides and angles are the same. An equilateral triangle is a regular polygon. It has all the same sides and the same angles. An isosceles triangle has two equal sides and two equal angles.

What are the 3 sides of a triangle called?

Triangle. A triangle is a 3-sided polygon sometimes (but not very commonly) called the trigon. The sides of a triangle are given special names in the case of a right triangle, with the side opposite the right angle being termed the hypotenuse and the other two sides being known as the legs.

What is the formula of equilateral triangle height?

Formulas and Calculations for a equilateral triangle: Altitude of Equilateral Triangle h = (1/2) * √3 * a. Angles of Equilateral Triangle: A = B = C = 60° Sides of Equilateral Triangle: a = b = c.

How do you find the diagonals of a equilateral triangle?

To find the length of the diagonal (or hypotenuse) of a right triangle, substitute the lengths of the two perpendicular sides into the formula a² + b² = c², where a and b are the lengths of the perpendicular sides and c is the length of the hypotenuse. Then solve for c.

What are the types of triangle?

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.

What are the properties of a scalene triangle?

Properties of the scalene triangle: All angles of a scalene triangle are unequal. A scalene triangle has no line of symmetry. The angle opposite to the longest side would be the greatest angle and vice versa. All sides of the given scalene triangle are unequal.

What is the property of isosceles triangle?

Isosceles Triangle Properties An Isosceles Triangle has the following properties: Two sides are congruent to each other. The third side of an isosceles triangle which is unequal to the other two sides is called the base of the isosceles triangle. The two angles opposite to the equal sides are congruent to each other.

Are all equilateral triangles congruent?

When triangles are congruent, the corresponding sides are equal. Since two equilateral triangles can have sides of different lengths each to each, comparatively, the corresponding sides are not equal. Hence, equilateral triangles will be congruent only if a side of one triangle is equal to a side of the other.

How do you explain 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 is called equilateral triangle?

In geometry, an equilateral triangle is a triangle in which all three sides are equal. In the familiar Euclidean geometry, an equilateral triangle is also equiangular; that is, all three internal angles are also congruent to each other and are each 60°.

What are the sides of an equilateral triangle called?

An equilateral triangle is a triangle with all three sides of equal length , corresponding to what could also be known as a "regular" triangle. An equilateral triangle is therefore a special case of an isosceles triangle having not just two, but all three sides equal.

What is special about an equilateral triangle?

An equilateral triangle is a triangle whose sides are all equal. It is a specific kind of isosceles triangle whose base is equal to each leg, and whose vertex angle is equal to its base angles. Therefore, since all three sides of an equilateral triangle are equal, all three angles are equal, too.

How do you find Circumradius?

To find the length of the circumradius of the triangle, we can use a handy formula. We just need to know the lengths of all the sides of the triangle. If a triangle has side lengths a, b, and c, then the circumradius has the following length: R = (abc) / √((a + b + c)(b + c - a)(c + a - b)(a + b - c))

What is Circumradius of equilateral triangle?

The circumradius of a triangle is the radius of the circle circumscribing the triangle. We are given an equilateral triangle of side 8cm. Let the radius of the circle be r. We know that in an equilateral triangle, median is also an angle bisector. Hence, angle OBC= 1/2 angle ABC=30°.