Isosceles and Equilateral Triangles

Front

What is an isosceles triangle?

Back

An isosceles triangle is a triangle that has at least two sides of equal length. The angles opposite these sides are also equal.

Front

What is an equilateral triangle?

Back

An equilateral triangle is a triangle in which all three sides are of equal length and all three angles are equal, each measuring 60 degrees.

Front

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

Back

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

Front

If two angles of a triangle are equal, what can be said about the sides opposite those angles?

Back

If two angles of a triangle are equal, the sides opposite those angles are also equal in length.

Front

In an isosceles triangle, if the vertex angle is 36 degrees, what are the measures of the base angles?

Back

The base angles in an isosceles triangle can be found using the formula: Base Angle = (180 - Vertex Angle) / 2. Thus, the base angles are 72 degrees each.

Front

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

Back

In an equilateral triangle, all three angles are equal, and each measures 60 degrees.

Front

How do you find the height of an isosceles triangle?

Back

The height can be found by drawing a perpendicular line from the vertex to the base, which bisects the base. Use the Pythagorean theorem to calculate the height.

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

If the lengths of the sides of an equilateral triangle are 'a', what is the formula for its perimeter?

Back

The perimeter of an equilateral triangle is given by the formula: Perimeter = 3 * a.

Front

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

Back

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