## What is the statement of isosceles triangle theorem?

If two sides of a triangle are congruent , then the angles opposite to these sides are congruent.

**How do you write an isosceles triangle equation?**

Isosceles Triangle Formulas

- Area = 1/2 × Base × Height.
- Area = b2√a2−b24. (Here a is the equal side, and b is the base of the triangle.)
- Area = 1/2 ×abSinα (Here a and b are the lengths of two sides and α is the angle between these sides.)

**How do you prove the isosceles triangle theorem?**

Theorem 1: Angles opposite to the equal sides of an isosceles triangle are also equal. Proof: Consider an isosceles triangle ABC where AC = BC. We need to prove that the angles opposite to the sides AC and BC are equal, that is, ∠CAB = ∠CBA.

### What are the triangle theorems?

Theorem 1: The sum of all the three interior angles of a triangle is 180 degrees. Theorem 2: The base angles of an isosceles triangle are congruent. The angles opposite to equal sides of an isosceles triangle are also equal in measure.

**What are the properties of isosceles triangle?**

Convex polygon

Cyclic

Isosceles triangle/Properties

**What does the converse of the isosceles triangle theorem say?**

If two angles of a triangle are congruent , then the sides opposite to these angles are congruent.

## What are the properties of a isosceles triangle?

**How do you prove triangle theorems?**

If two sides of a triangle are congruent, the angles opposite these sides are congruent. If two angles of a triangle are congruent, the sides opposite these angles are congruent. If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

**What are the 5 theorems?**

In particular, he has been credited with proving the following five theorems: (1) a circle is bisected by any diameter; (2) the base angles of an isosceles triangle are equal; (3) the opposite (“vertical”) angles formed by the intersection of two lines are equal; (4) two triangles are congruent (of equal shape and size …

### What are the 3 types of theorem?

Table of Contents

1. | Introduction |
---|---|

2. | Geometry Theorems |

3. | Angle Theorems |

4. | Triangle Theorems |

5. | Circle Theorems |

**Which fact helps you prove the isosceles triangle theorem?**

Which fact helps you prove the isosceles triangle theorem, which states that the base angles of any isosceles triangle have equal measure? If one angle of a triangle is larger than another angle, then the side opposite the larger angle is longer than the side opposite the smaller angle.

**Who discovered isosceles triangle?**

Known as the “Father of Geometry,” mathematician Euclid lived around 300 BC. He came up with the rules involving isosceles triangles.