0
An equilateral triangle is a special type of isosceles triangle. It has two equal sides, which makes it isosceles; its third side is also equal, making it equilateral, too.
Wiki User
∙ 16y ago
Add your answer:
Earn +20 pts
Can an isoceles triangle be equilateral?
-- Some mathematicians define an 'isosceles' triangle as one with at least twoequal sides. They would say that equilateral triangles are isosceles.-- Other mathematicians define an 'isosceles' triangle as one with exactly twoequal sides. They would say that equilateral triangles are not isosceles.
A isosceles triangle is a special type of equilateral triangle?
Not ... exactly. It would be closer to accurate to say that an equilateral triangle is a special case of the isosceles triangle.All equilateral triangles are (also) isosceles; but most isosceles triangles are not equilateral.
Do isosceles triangles have all equal sides?
Some people classify isosceles triangles as having at least two equal sides, while other say that they must have exactly two equal sides. So, depending on your definition, some isosceles triangles may have all equal sides, but equilateral triangles always have three equal sides.
All equilateral triangles are also isosceles triangles?
True or False, depending on your definition of isosceles triangles!Actually, whether your answer is true or false depends upon your definition of an isosceles triangle. Some mathematicians define an isosceles triangle as one with at least two sides, while others define an isosceles triangle as one with exactly two sides. The latter definition is the more generally accepted one. Since an equilateral triangle has three, not exactly two congruent sides, people using the second definition of isosceles triangles would say that the statement is false, not true.False because an equilateral triangle has 3 equal sides whereas an isosceles triangle has only 2 equal sides
Does an isosceles triangle always have three congruent angles?
Isosceles triangles usually have two congruent sides, but the rule is that they actually have at least two. That means that they can also have a third congruent side. That means they are both equilateral and isosceles*, which I personally think is way too confusing, but that's how it works.Example: A triangle has angles of 60 degrees, 60 degrees, and 60 degrees. It is both isosceles and equilateral.*I think that equilateral triangles are actually a type of isosceles triangle, so that if you're asked on a math test, for example, whether a triangle is scalene, isosceles, or equilateral, you'd say equilateral.No, Isosceles is two equal sides, although an equilateral triangle CAN be an isosceles triangle. And Angles of an isosceles triangle are not known (given) - simply two equal sides.Three, like every other triangle.
How is an equilateral triangle an isosceles?
An equilateral triangle, by definition, has three sides of equal length. The definition for an isosceles triangle is that it must have two sides of equal length, the other side being free to have any length. Based on these two definitions, we can say that an equilateral triangle is a special case of the isosceles triangle, namely one where the third side is also equal to the other two sides.
How is an equilateral triangle an isosceles triangle?
An equilateral triangle, by definition, has three sides of equal length. The definition for an isosceles triangle is that it must have two sides of equal length, the other side being free to have any length. Based on these two definitions, we can say that an equilateral triangle is a special case of the isosceles triangle, namely one where the third side is also equal to the other two sides.
What is a congruent isosceles triangle?
isosceles triangle is a triangle in which 2 of the 3 sides are equal length. the third side can be any length. there are an infinite number of such triangles. congruent just means total equal to another triangle. you only say congruent when referring to two different triangles. or you can say any triangle is congruent to itself. so if you have two isosceles triangle that are identical, then each one is a congruent isosceles triangle
What does equilateral triangle and scalene triangle have in common?
well since im a profesor at Berkly Univerety i would say they have the shapein common,you know like they are both triangles and common they both havethree sides.
Triangle that is both equilateral and equiangular?
A triangle is equilateral if, and only if, it is equiangular. That is to say, the two statements are equivalent.
What is Triangle that is both equilateral and equiangular?
A triangle is equilateral if, and only if, it is equiangular. That is to say, the two statements are equivalent.
What are the dimensions of an isosceles triangle of least area that can be circumscribed about a circle of radius r?
The isosceles triangle of least area that can be circumscribed about a circle of radius r turns out to be not just isosceles, but also equilateral. Each side has length 2r x ( 3 )0.5 . The area is r2 x (27)0.5 . Thanks are due to litotes for pointing out that the original answer did not actually answer the question ! tpm Since the equilateral triangle is also an isosceles triangle, we can say that at least area that can be circumscribed to a circle is the area of an equilateral triangle.If we are talking only for isosceles triangle where base has different length than two congruent sides, we can say that at least area circumscribed to a circle with radius r, is the area of an isosceles triangle whose base angles are very close to 60 degrees. Solution: Let say that the isosceles triangle ABC is circumscribed to a circle with radius r, where BA = BC. We know that the center of the circle inscribed to a triangle is the point of the intersection of the three angle bisectors of the triangle. Let draw these angle bisectors, and denote with D the point where the bisector drawn from the vertex, B, of the triangle, intersects the base AC. Since the triangle is an isosceles triangle, then BD bisects the base and it is perpendicular to the base. So that AD = DC, OD = r, and the triangles ADB and AOD are right triangles (O is the center of the circle). In the triangle ADB, we have:tan A = BD/AD, so that AD = BD/tan A In the triangle AOD, we have:tan A/2 = OD/AD, so that AD = r/tan A/2, and AC = 2r/tan A/2 Therefore,BD/tan A = r/tan A/2, andBD = (r tan A)/tan A/2 Area of triangle ABC = (1/2)(AC)(BD) = (1/2)(2r/ tan A/2)[(r tan A)/tan A/2] = (r2 tan A)/tan2 A/2 After we try different acute angles measure, we see that the smallest area would be: If the angle A= 60⁰,then the Area of the triangle ABC = r2 tan 60⁰/tan2 30⁰ ≈ 5.1961r2 If the angle A= 59.8⁰,then the Area of the triangle ABC = (r2 tan 59.8⁰)/tan2 29.9⁰ ≈ 5.1962r2
