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Q: What is a special pyramid whose faces are all congruent equilateral triangles?
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Is an equilateral triangle equal to an isosceles triangle?

An isosceles triangle has at least two congruent sides. An equilateral triangle has three congruent sides. So, an equilateral triangle is a special case of isosceles triangles. Since the equilateral triangle has three congruent sides, it satisfies the conditions of isosceles triangle. So, equilateral triangles are always isosceles triangles. Source: www.icoachmath.com


Equilateral triangle has one angle that is exactly 90 degrees?

An equilateral triangle is a special isosceles triangle in which all three sides are congruent. Equilateral triangles are also equiangular, which means all three angles are congruent. The measure of each angle is 60 degrees.


What are the special features of a square based pyramid?

It has a four sided square base and four other triangular sides reaching up to an apex. It is a pentahedron. If the four triangles are equilateral, it is known as a Johnson solid, and six of the pyramids will fit together to make an exact cube. If the four triangles are not equilateral, then they are 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.


Why congruence is a special case of similarity?

Term similar is more wide than term congruent. For example: if you say that two triangles are congruent that automatically means that they are similar, but if you say that some two triangles are similar it doesn't have to mean that they are congruent.