Quick Answer: What Is A Isosceles Triangle In Geometry?

An isosceles triangle is a triangle with (at least) two equal sides. In the figure above, the two equal sides have length and the remaining side has length.. This property is equivalent to two angles of the triangle being equal. An isosceles triangle therefore has both two equal sides and two equal angles.

What is an isosceles triangle simple definition?

: a triangle in which two sides have the same length.

How do you explain an isosceles triangle?

A triangle with two sides of equal length is an isosceles triangle. The two equal sides of an isosceles triangle are known as ‘legs’ whereas the third or unequal side is known as the ‘base’.

What are 3 characteristics of isosceles triangles?

An Isosceles Triangle has the Following Properties:

  • It has two sides of equal length.
  • The angles opposite to equal sides are equal in measure.
  • The altitude from vertex A to the base BC is the perpendicular bisector of the base BC.
  • The altitude from vertex A to the base BC is the angle bisector of the vertex angle ∠ A.
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What is the best definition of an isosceles triangle?

In geometry, an isosceles triangle is a triangle that has two sides of equal length. The two equal sides are called the legs and the third side is called the base of the triangle.

Do isosceles triangles add up to 180?

Parts of an Isosceles Triangle The two equal sides of the isosceles triangle are legs and the third side is the base. The angle between the equal sides is called the vertex angle. All of the angles should equal 180 degrees when added together.

What is a triangle with no sides the same?

Scalene. A scalene triangle has three different angles and none of its sides are equal in length.

How do you find the isosceles triangle with two equal sides?

A altitude between the two equal legs of an isosceles triangle creates right angles, is a angle and opposite side bisector, so divide the non-same side in half, then apply the Pythagorean Theorem b = √(equal sides ^2 – 1/2 non-equal side ^2).

What two angles equal an isosceles triangle?

Properties of Isosceles Triangle The two equal sides of an isosceles triangle are called the legs and the angle between them is called the vertex angle or apex angle. The side opposite the vertex angle is called the base and base angles are equal.

What are the properties of an isosceles triangle in geometry?

An isosceles triangle therefore has both two equal sides and two equal angles. The name derives from the Greek iso (same) and skelos (leg). A triangle with all sides equal is called an equilateral triangle, and a triangle with no sides equal is called a scalene triangle.

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What is always true about an isosceles triangle?

What is always true about the angles of an isosceles triangle? At least two of the angles are congruent. The vertex angle of an isosceles triangle measures 40°.

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