Properties of Triangles

Front

What is a triangle?

Back

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry.

Front

What are the types of triangles based on sides?

Back

1. Scalene: All sides are of different lengths. 2. Isosceles: Two sides are of equal length. 3. Equilateral: All three sides are of equal length.

Front

What are the types of triangles based on angles?

Back

1. Acute: All angles are less than 90º. 2. Right: One angle is exactly 90º. 3. Obtuse: One angle is greater than 90º.

Front

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

Back

The sum of the interior angles of a triangle is always 180º.

Front

How do you find the perimeter of a triangle?

Back

The perimeter of a triangle is found by adding the lengths of all three sides: P = a + b + c.

Front

If two sides of a triangle are 19 inches and 28 inches, what is the maximum length of the third side?

Back

The maximum length of the third side must be less than the sum of the other two sides: 19 + 28 = 47 inches.

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 classify a triangle with angles measuring 30º, 60º, and 90º?

Back

This triangle is classified as a right triangle because it has one angle that measures 90º.

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 the formula to find the area of a triangle?

Back

The area of a triangle can be calculated using the formula: Area = (base * height) / 2.