Isosceles and Equilateral Triangles

Front

What defines an isosceles triangle?

Back

An isosceles triangle has at least two sides that are equal in length.

Front

What is the measure of each angle in an equilateral triangle?

Back

Each angle in an equilateral triangle measures 60 degrees.

Front

What is a right isosceles triangle?

Back

A right isosceles triangle has one angle that measures 90 degrees and the two legs are of equal length.

Front

How can you identify an equilateral triangle?

Back

An equilateral triangle can be identified by having all three sides of equal length.

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 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

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

Back

In a triangle, the larger the angle, the longer the side opposite that angle.

Front

What is the formula for the area of an equilateral triangle?

Back

The area of an equilateral triangle can be calculated using the formula: Area = (sqrt(3)/4) * side^2.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides (a^2 + b^2 = c^2).

Front

How do you find the height of an isosceles triangle?

Back

The height of an isosceles triangle can be found by drawing a perpendicular line from the vertex opposite the base to the midpoint of the base.