DMS Exterior Angles/Triangles/Pythag

Front

What is an exterior angle of a triangle?

Back

An exterior angle of a triangle is formed by one side of the triangle and the extension of an adjacent side. The measure of an exterior angle is equal to the sum of the measures of the two opposite interior angles.

Front

State the Pythagorean Theorem.

Back

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). It can be expressed as: a² + b² = c².

Front

How do you determine if a set of lengths can form a right triangle?

Back

To determine if a set of lengths can form a right triangle, check if the square of the longest side is equal to the sum of the squares of the other two sides using the Pythagorean Theorem.

Front

What is the relationship between the angles in a triangle?

Back

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

Front

If angle a and angle b are complementary, what is the sum of their measures?

Back

The sum of the measures of complementary angles is 90 degrees.

Front

What is the formula to find the diagonal of a rectangle?

Back

The diagonal (d) of a rectangle can be found using the formula: d = √(length² + width²).

Front

What is the definition of a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Front

What is the significance of the hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle, and is crucial for applying the Pythagorean Theorem.

Front

How can you find the length of a side in a right triangle if you know the lengths of the other two sides?

Back

You can find the length of the unknown side using the Pythagorean Theorem: a² + b² = c², where c is the hypotenuse.

Front

What is an acute angle?

Back

An acute angle is an angle that measures less than 90 degrees.