Pythagorean Theorem/Special Right Triangles

Front

What is the Pythagorean Theorem?

Back

Front

What are the side lengths of a 45-45-90 triangle in relation to each other?

Back

Front

What are the side lengths of a 30-60-90 triangle in relation to each other?

Back

Front

How can you determine if three lengths can form a triangle?

Back

To determine if three lengths can form a triangle, use the triangle inequality theorem: the sum of the lengths of any two sides must be greater than the length of the third side.

Front

What is a hypotenuse?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

Front

If a right triangle has sides of lengths 3, 4, and 5, which is the hypotenuse?

Back

The hypotenuse is 5.

Front

What is an acute angle?

Back

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

Front

What is an obtuse angle?

Back

An obtuse angle is an angle that measures more than 90 degrees but less than 180 degrees.

Front

Can a right triangle have an obtuse angle?

Back

No, a right triangle cannot have an obtuse angle; it can only have one right angle and two acute angles.

Front

What is the relationship between the angles in a right triangle?

Back

In a right triangle, the sum of the three angles is always 180 degrees, with one angle being 90 degrees and the other two being acute.