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In geometry, an equilateral triangle is a triangle that has all its sides equal in length. Since the three sides are equal therefore the three angles, opposite to the equal sides, are equal in measure. Therefore, it is also called an equiangular triangle, where each angle measure 60 degrees. Just like other types of triangles, an equilateral ...
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An equilateral triangle has three sides and three angles. The measurements of each side are the same and angles are equal to 60 degrees. What is the Perimeter of The Equilateral Triangle with the side equal to 70 inches? Perimeter of an equilateral triangle = 3 × sides of an equilateral triangle. Perimeter = 3 × 70 = 210 inches.
Oct 9, 2024 · No, a right triangle can't be an equilateral triangle. One of the angles in a right triangle is 90°. Since the sum of all the interior angles in a triangle is 180°, the other two angles in a right triangle are always less than 90°. According to the definition of equilateral triangles, all internal angles are equal.
- To find the area of an equilateral triangle, follow the given instructions: Take the square root of 3 and divide it by 4. Multiply the square of th...
- To find the height of an equilateral triangle, proceed as follows: Take the square root of 3 and divide it by 2. Multiply the result from step 1 wi...
- The perimeter of the given triangle is 24 cm. To calculate the perimeter of an equilateral triangle, we need to multiply its side length by 3. The...
Recall the definition. An equilateral triangle has three equal (congruent) sides and three (congruent) equal angles. 2Explain why the triangle fits or does not fit the definition. This triangle has sides measuring 1111 inches. Since the triangle has three equal sides all measuring 1111 inches, it is an equilateral triangle.
- Do Equilateral Triangles Have Equal angles?
- Can Equilateral Triangles Be Isosceles?
- Can Equilateral Triangles Be acute?
- Can Equilateral Triangles Be scalene?
- Can An Equilateral Triangle Be A Right Triangle?
- Are All Equilateral Triangles similar?
- Are All Equilateral Triangles congruent?
- Is An Equilateral Triangle A Regular polygon?
- Does An Equilateral Triangle Have Parallel sides?
- Does An Equilateral Triangle Have Perpendicular sides?
Equilateral triangles do have equal angles. Since all three sides are the same length, it follows that all three angles have the same measure. We can calculate the angle as follows: call the angle A. The three angles in an equilateral triangle all have a measure of A, and the three angles add up to 180 degrees. This gives us the equation: 1. A + A ...
An equilateral triangle is always isosceles. By definition, an isosceles trianglehas at least two sides of the same length. So, an equilateral triangle is a special case of an isosceles triangle (since having three sides of equal length means having at least two sides of equal length). However, the reverse is not true: not every isosceles triangle ...
An equilateral triangle is always acute. By definition, an acute triangleis one with three acute angles (an acute angle is less than 90 degrees). Since each of the three angles in an equilateral triangle is 60 degrees, and 60 < 90, this means that all three angles are acute. However, the reverse is not true: not every acute triangle is equilateral....
An equilateral triangle is never scalene. By definition, a scalene triangleis one where no two sides have the same length (each side has a unique length). Since an equilateral triangle has the same length for all three sides, it cannot be scalene. Likewise, no scalene triangle is equilateral.
An equilateral triangle is never a right triangle. By definition, a right triangleis one that has a 90 degree angle. Since an equilateral triangle has three 60 degree angles, it cannot have a 90 degree angle, and so it cannot be a right triangle. Likewise, no right trianglecan be equilateral.
All equilateral triangles are similar. The reason is that they share the same three angles: they are always 60 degrees. No matter the side lengths of two equilateral triangles, they are similar because of the shared angles.
Not all equilateral triangles are congruent. Remember that congruent is a stronger statement than similar: 1. For two triangles to be similar, the three pairs of angles (one from each triangle) must be equal. 2. For two triangles to be congruent, they must be similar and the three pairs of sides (one from each angle) must have equal lengths. So, an...
An equilateral triangle is always a regular polygon. By definition, a regular polygonis a polygon where all angles have the same measure and all sides have the same length (there can be any number of sides and angles). For an equilateral triangle, we have a regular polygon with 3 sides (n = 3). The measure of each interior angle is 180 / 3 = 60 deg...
An equilateral triangle never has parallel sides. Remember: any pair of sides in an equilateral triangle will meet (at a 60 degree angle), so any pair of sides cannot be parallel. Likewise, any polygon with two parallel sides is not a triangle. Two sides that are parallel would never intersect, so they would never meet to form an angle. We would ne...
An equilateral triangle never has perpendicular sides. Remember: any pair of sides in an equilateral triangle will meet at a 60 degree angle. So, no pair of sides can be perpendicular, since perpendicular sides would have to meet at a 90 degree angle. Likewise, any triangle with two perpendicular sides cannot be equilateral. When two sides of a tri...
In geometry, an equilateral triangle is a triangle whose all three sides are of equal length. The sides of an equilateral triangle are congruent, which means that all sides are of equal length. All the interior angles are equal (60 degrees) too. The term equilateral is made up of ‘equi,’ which means equal, and ‘lateral,’ which means side.
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Are the sides of an equilateral triangle equal in measurements?
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Why is an equilateral triangle called a regular triangle?
May 29, 2023 · The sides of an equilateral triangle have equal measurements. The angles of an equilateral triangle are congruent, and each measures 60 degrees. Triangle ABC is an equilateral triangle because its sides, AB, BC, and AC, are all of equal length, or AB = BC = AC, i.e., ∠A = ∠B = ∠C = 60°
