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 is 36 degrees, what are the measures of the base angles?

Back

The base angles would each measure 72 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 angle to the base, creating two right triangles.

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 8 cm, what is the perimeter?

Back

The perimeter is 24 cm (8 cm + 8 cm + 8 cm).

Front

What is the formula for the area of a triangle?

Back

The area of a triangle is given by the formula: Area = 1/2 * base * height.

Front

If the base of an isosceles triangle is 10 cm and the height is 6 cm, what is the area?

Back

The area is 30 cm² (Area = 1/2 * 10 cm * 6 cm).