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.

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 to 60 degrees.

Front

How do you calculate the perimeter of a triangle?

Back

The perimeter of a triangle is calculated by adding the lengths of all three sides.

Front

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

Back

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

Front

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

Back

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

Front

If one angle of an equilateral triangle measures 60 degrees, what are the measures of the other two angles?

Back

The other two angles also measure 60 degrees, as all angles in an equilateral triangle are equal.

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 10 units long and the base is 8 units long, what is the perimeter?

Back

The perimeter is 10 + 10 + 8 = 28 units.

Front

What is the height of an equilateral triangle with a side length of 6 units?

Back

The height can be calculated using the formula: height = (sqrt(3)/2) * side length. For a side length of 6, height = (sqrt(3)/2) * 6 = 3√3 units.

Front

How do you determine if a triangle is equilateral based on its side lengths?

Back

A triangle is equilateral if all three of its side lengths are equal.