Table of Contents
Can an equilateral triangle also be a right triangle Why or why not?
No, a right triangle cannot be an equilateral triangle. By definition, a right triangle is a triangle that contains a right angle, where a right…
What is a right equilateral triangle?
An equilateral triangle has three congruent sides, and is also an equiangular triangle with three congruent angles that each meansure 60 degrees. To find the height we divide the triangle into two special 30 – 60 – 90 right triangles by drawing a line from one corner to the center of the opposite side.
Can an equilateral be a right triangle?
In an equilateral triangle, all the sides are equal. Since all the sides are equal then the angles must be equal too. So we can’t have an Right angled equilateral triangle.
Is an equilateral triangle an acute triangle?
An acute triangle is a triangle in which each angle is an acute angle. For example, an equilateral triangle is always acute, since all angles (which are 60) are all less than 90.
Can a triangle be an equilateral triangle?
A triangle with all sides equal is called an equilateral triangle, and a triangle with no sides equal is called a scalene triangle. An equilateral triangle is therefore a special case of an isosceles triangle having not just two, but all three sides and angles equal.
Are equilateral triangles acute triangles?
Are equilateral triangles always similar?
A property of equilateral triangles includes that all of their angles are equal to 60 degrees. Since every equilateral triangle’s angles are 60 degrees, every equilateral triangle is similar to one another due to this AAA Postulate.
Can a right triangle be equilateral?
In an equilateral triangle, all the sides are equal. If we use the longest side theorem which say in the triangle the longest side is across the largest angle. Since all the sides are equal then the angles must be equal too. So we can’t have an Right angled equilateral triangle.
Is an equilateral triangle a unique triangle?
In geometry, an equilateral triangle is a triangle in which all three sides have the same length. 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°….
Equilateral triangle | |
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Internal angle (degrees) | 60° |
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