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 and the angles opposite those sides are 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 a 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

The sides opposite the equal angles are also equal in length.

Front

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

Back

To find the unknown angle, subtract the sum of the known angles from 180 degrees.

Front

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

Back

In an equilateral triangle, all sides are equal, and all angles are equal to 60 degrees.

Front

If the length of one side of an equilateral triangle is 10 cm, what is the length of the other sides?

Back

The lengths of all sides are also 10 cm.

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

In an isosceles triangle, if the equal sides are each 5 cm and the base is 6 cm, what is the height?

Back

The height can be found using the Pythagorean theorem, resulting in approximately 4.0 cm.

Front

What is the definition of the base of a triangle?

Back

The base of a triangle is any one of its sides, often referred to when calculating the area.