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What is the mathematical definition of an isosceles triangle?

Anonymous

∙ 14y ago

Updated: 10/26/2022

a triangle with 2 sides the same and 1 side different

Wiki User

∙ 14y ago

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Q: What is the mathematical definition of an isosceles triangle?

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What is the definition of leg of an isosceles triangle?

It is one of the two equivalent sides on the isosceles triangle.

If it is an equilateral triangle then it is an isosceles triangle?

Let us recall the definition of an isosceles triangle. An isosceles triangle is a triangle with two equal or congruent sides. In this definition, it is not stated that it has exactly two equal sides. An equilateral triangle has three equal or congruent sides. If it has three equal sides, then it must have two equal sides. Therefore, an equilateral triangle is considered as an isosceles triangle. But, an isosceles triangle is not necessarily an equilateral triangle.

Does an isosceles triangle have two congruent sides?

Yes, by definition.

Why is it an isosceles triangle?

When a triangle has 2 sides that are equal in length it is isosceles from Latin and Greek words. Isosceles may also be a mathematical geometric shape with at least 2 sides having the same length.

Do every isosceles triangle have two equal angles?

yes. that is part of the definition of an isoceles triangle

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Related Questions

What is the a definition and picture of an isosceles trapezoid?

isosceles triangle is a 3-sides triangle

What is the definition of leg of an isosceles triangle?

It is one of the two equivalent sides on the isosceles triangle.

True or false An isosceles triangle can be scalene?

Absolutely false. A scalene triangle by definition has no side equal to another. An isosceles triangle by definition has two equal sides.

If it is an equilateral triangle then it is an isosceles triangle?

Let us recall the definition of an isosceles triangle. An isosceles triangle is a triangle with two equal or congruent sides. In this definition, it is not stated that it has exactly two equal sides. An equilateral triangle has three equal or congruent sides. If it has three equal sides, then it must have two equal sides. Therefore, an equilateral triangle is considered as an isosceles triangle. But, an isosceles triangle is not necessarily an equilateral triangle.

Can an isoceles triangle ever be scalene?

No. An isosceles triangle has, by definition, two sides of equal length. A scalene triangle has, by definition, no sides of equal length. So, by definition (and the fact that 0 is not 2), an isosceles triangle cannot be scalene.

Why is equilateral triangle not isosceles?

The definition of an isosceles triangle is that 2 sides are the same length, the other is different. An equilateral triangle means all sides are the same.

Does an isosceles triangle have two congruent sides?

Yes, by definition.

Why is it an isosceles triangle?

When a triangle has 2 sides that are equal in length it is isosceles from Latin and Greek words. Isosceles may also be a mathematical geometric shape with at least 2 sides having the same length.

Are All equilateral triangles are isosceles.?

No because an equilateral triangle has 3 equal sides but an isosceles triangle has only 2 equal sides

Do every isosceles triangle have two equal angles?

yes. that is part of the definition of an isoceles triangle

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

Can a isosceles triangle have three lines of symmetry?

It depends on the definition used. If you are defining an isosceles triangle as having exactly two sides of equal length, then no. If you define it as having at least two, then yes. An equilateral triangle has three lines of symmetry, but whether or not that counts as an isosceles triangle depends on the definition used. So, maybe.

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