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

In an isosceles triangle, if the vertex angle measures 40 degrees, what is the measure of each base angle?

Back

Each base angle measures 70 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

How do you find the length of a side in an isosceles triangle if you know the lengths of the equal sides and the base?

Back

You can use the Pythagorean theorem to find the height and then use it to find the length of the base.

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 two equal sides of an isosceles triangle are 10 cm and the base is 8 cm, what is the height of the triangle?

Back

The height can be found using the Pythagorean theorem, resulting in a height of 6 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 the side on which the triangle is considered to be standing.