Equilateral and Isosceles Triangle

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 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 also equal.

Front

What does it mean for sides to be congruent?

Back

Congruent sides are sides that are equal in length.

Front

In an isosceles triangle, which sides are typically referred to as the legs?

Back

The two sides that are of equal length are referred to as the legs of the isosceles triangle.

Front

What is the base of an isosceles triangle?

Back

The base of an isosceles triangle is the side that is not equal in length to the other two sides.

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 opposite the base to the midpoint of the base.

Front

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

Back

The angles opposite the equal sides are equal.

Front

If the lengths of the two equal sides of an isosceles triangle are 10 cm, what is the maximum length of the base?

Back

The maximum length of the base can be less than 20 cm, according to the triangle inequality theorem.

Front

What is the triangle inequality theorem?

Back

The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Front

How do you calculate the area of an equilateral triangle?

Back

The area A can be calculated using the formula: A = (sqrt(3)/4) * a^2, where a is the length of a side.