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# Does an isosceles triangle always have three congruent angles?

Updated: 4/28/2022

Wiki User

13y ago

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.

Wiki User

13y ago

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Q: Does an isosceles triangle always have three congruent angles?
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Related questions

### An angle not congruent to the base angles of an isosceles triangle?

The base angles of an isosceles triangle are congruent. The vertex angle of an isosceles triangle is not necessarily congruent to the base angles.

### Is a triangle with two congruent angles always a 45-45-90 triangle?

No because an isosceles triangle has various two congruent angles. A 45-45-90 triangle is technically an isosceles triangle.

### Not two angles within an isosceles triangle are congruent?

If it doesn't have congruent angles, it's not an isosceles triangle.

### Are Base angles of an isosceles triangle are congruent?

Yes, the base angles of an isosceles triangle are always congruent. An isosceles triangle commonly has two sides that are equal in length. The base angles are the angles opposite those two equal sides of the triangle. A geometric theorem states that if two sides of a triangle are congruent, then the angles opposite those sides are congruent. The converse is also true.

### In an isosceles triangle the base angles are?

The base angles of an isosceles triangle are congruent.

### If the base angles of a triangle are congruent then the triangle is isosceles?

It will be either isosceles or equilateral. It is equilateral if all of the angles are congruent.

### Does a scalene triangle have congruent angles?

No, An equilateral triangle has 3 congruent angles, an isosceles triangle has 2 congruent angles, a scalene triangle has no congruent angles.

### Which statement about the base angles of an isosceles triangle is true?

The base angles are always congruent.

### Is the isosceles triangle the only triangle with congruent sides and angles?

In an isosceles triangle 2 sides are congruent and 2 angles are congruent. In an equilateral triangle all 3 sides are congruent and all 3 angles are congruent also.

### What is the Isosceles Triangle Theorem in Geometry?

The Isosceles Triangle Theorem:If two sides of a triangle are congruent, then the angles opposite the sides are congruent.The Converse of Isosceles Triangle Theorem:If two angles of a triangle are congruent, then the sides opposite those angles are congruent.

### Can a scalene triangle have two congruent angles?

no because if an scalene triangle had 2 congruent angles it wouldn't be a scalene it would be a isosceles triangle because an isosceles triangle is the only triangle with 2 congruent angles

### What triangle is formed with three sides of different lengths?

A scalene triangle. In a scalene triangle, there are no congruent sides or angles. In an isosceles triangle, at least two congruent sides and angles. In an equilateral triangle, all three sides and angles are congruent, with angles that always measure sixty degrees. Note: an equilateral triangle also classifies as an isosceles triangle, as it meets the definition of an isosceles triangle mentioned above.