Relationships in Triangles

Front

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

Back

180 degrees.

Front

What is the Pythagorean theorem?

Back

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 (a² + b² = c²).

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if they have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What is the relationship between the sides of a triangle and its angles?

Back

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

Front

Define 'equidistant' in the context of geometry.

Back

A point is equidistant from two figures if it is the same distance from each figure.

Front

What is the Triangle Inequality Theorem?

Back

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 find the length of a side in a right triangle using trigonometric ratios?

Back

Use sine, cosine, or tangent ratios based on the angles and the lengths of the other sides.

Front

What is the definition of an isosceles triangle?

Back

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

Front

What is the definition of a scalene triangle?

Back

A scalene triangle has all sides of different lengths.

Front

What is the definition of an acute triangle?

Back

An acute triangle has all angles measuring less than 90 degrees.