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, measuring 60 degrees each.

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 the sum of the interior angles of a triangle?

Back

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

Front

If two angles of a triangle are 50 degrees and 60 degrees, what is the measure of the third angle?

Back

The third angle measures 70 degrees (180 - 50 - 60 = 70).

Front

What do the angles in an equilateral triangle measure?

Back

Each angle in an equilateral triangle measures 60 degrees.

Front

In an isosceles triangle, if one angle measures 40 degrees, what are the measures of the other two angles?

Back

The other two angles each measure 70 degrees (180 - 40 = 140; 140/2 = 70).

Front

What is the relationship between the sides and angles in a triangle?

Back

In a triangle, the larger the angle, the longer the opposite side; conversely, the smaller the angle, the shorter the opposite side.

Front

How do you find the height of an equilateral triangle?

Back

The height can be found using the formula: height = (sqrt(3)/2) * side length.

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 8 cm, what is the area?

Back

The area is 40 cm² (Area = 1/2 * base * height = 1/2 * 10 * 8).