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3 sides equal = equilateral (if and only if three angle equal and each = 60 degrees);

2 sides equal = isosceles (if and only if the two angles that are opposite these sides are equal. And that implies they must be acute);

0 sides equal = scalene (if and only if all angles also different).

"If and only if" is a mathematical device to say that each of the two statements implies the other, or that they are equivalent.

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Q: Classification of triangle according to number of congruent sides?
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Related questions

Kinds of triangle according to number of congruent sides?

All triangles have 3 sides and 3 interior angles that add up to 180 degrees. Equilateral triangles have 3 congruent sides. Isosceles triangles have 2 congruent sides. A right angle triangle can have 2 congruent sides if its interior angles are 90, 45, 45 degrees. A scalene or an obtuse triangle has no congruent 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


Does a triangle that has congruent sides and angles is an isosceles right triangle?

Not necessarily. The details are quite vague here since the question doesn't give the specific number of sides and angles.A triangle that has all congruent angles and sides is called an equilateral triangle.A triangle that has two congruent angles and two congruent sides is called an isosceles triangle.


What triangle is congruent?

A single triangle would not be described as congruent, you have to have at least two triangles in order for congruency to be possible. Congruent triangles are the same. Their sides are all the same length, and their angles are all the same number of degrees. They are mathematically identical. That's what the term congruent means.


What are the different classification of algebraic expression according to the number of term?

classifacation of algebraic expression according to the number of terms


Can a congruent shape have the same number of angles?

a congruent shape HAS TO HAVE ALL CONGRUENT ANGLES OR IT WOULDNT BE A CONGRUENT sHAPE


What is classification of polynomials according to the number of terms?

A very poor and not particulary useful form of classification. According to that system, x + 3 and x4 + 7 would belong to the same class!


Number of pairs of congruent triangles in a square?

4 congruent pairs


What is the classification of terms according to number and degree?

the degree of polynomial is determined by the highest exponent its variable has.


In an isosceles triangle one side is 8 times more than 2 times a number and a congruent side is 14 times less than 3 times the same number what is that number?

The question appears to be somewhat muddle up and other details are needed to find the x value of the isosceles triangle such as its perimeter or area.


What polygon has equal sides and equal angles?

A polygon that has congruent sides and congruent angles is called a Regular polygon. If the number of sides is given, you can be more specific. Some examples: 3 congruent sides/angles = equilateral triangle 4 congruent sides/angles = square 5 congruent sides/angles = regular pentagon 6 congruent sides/angles = regular hexagon ...and so on, by adding "regular" in front of the shape's name.


How many of the interior angles in an isosceles triangle have the same number of degrees?

In an isosceles triangle, two of the interior angles have the same number of degrees. This is because an isosceles triangle has two sides of equal length, which means the two base angles (the angles opposite those equal sides) are congruent. The third angle, called the apex angle, can be different from the base angles unless the triangle is also equilateral.