Isosceles and Equilateral Triangles

Front

What defines an isosceles triangle?

Back

An isosceles triangle is defined as a triangle that has at least two sides of equal length.

Front

What defines an equilateral triangle?

Back

An equilateral triangle is defined as a triangle in which all three sides are of equal length and all three angles are equal to 60 degrees.

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180 degrees.

Front

How do you find the measure of the vertex angle in an isosceles triangle?

Back

To find the measure of the vertex angle in an isosceles triangle, you can use the formula: Vertex Angle = 180 - 2 * Base Angle.

Front

What is the relationship between the angles in an isosceles triangle?

Back

In an isosceles triangle, the angles opposite the equal sides are also equal.

Front

How do you calculate the base angles of an isosceles triangle if the vertex angle is known?

Back

If the vertex angle is known, the base angles can be calculated using the formula: Base Angle = (180 - Vertex Angle) / 2.

Front

What is the formula for the area of a triangle?

Back

The area of a triangle can be calculated using the formula: Area = 1/2 * base * height.

Front

What is the Pythagorean theorem and how does it relate to triangles?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides (a² + b² = c²).

Front

How can you determine if a triangle is equilateral based on its angles?

Back

A triangle is equilateral if all three of its angles are equal to 60 degrees.

Front

What is the significance of the vertex angle in an isosceles triangle?

Back

The vertex angle is the angle formed by the two equal sides of an isosceles triangle and is crucial for determining the triangle's properties.