Like this study set? Create a free account to save it.

Sign up for an account

Already have a Quizlet account? .

Create an account

Theorem 8-1-1

The altitude to the hypotenuse of a right triangle forms two triangles that are similar to each other and to the original triangle.

Corollaries 8-1-2 Geometric means

The length of the altitude to the hypotenuse of a right triangle is the geometric mean of the lengths of the two segments of the hypotenuse.

Corollary 8-1-3 Geometric means

the length of a leg of a right triangle is the geometric mean of the hypotenuse and the segment of the hypotenuse adjacent to that leg.

Theorem 8-5-1 The Law of Sines

For any ΔABC with side lengths a, b, and c, sin A / a = sin B / b = sin C / c.

Theorem 8-5-2 The Law of Cosines

For any ΔABC with sides a, b, and c, a² = b² + c² - 2bc cosA, b² = a² + c² - 2ac cosB, and c² = a² + b² - 2ab cosC

Please allow access to your computer’s microphone to use Voice Recording.

Having trouble? Click here for help.

We can’t access your microphone!

Click the icon above to update your browser permissions and try again


Reload the page to try again!


Press Cmd-0 to reset your zoom

Press Ctrl-0 to reset your zoom

It looks like your browser might be zoomed in or out. Your browser needs to be zoomed to a normal size to record audio.

Please upgrade Flash or install Chrome
to use Voice Recording.

For more help, see our troubleshooting page.

Your microphone is muted

For help fixing this issue, see this FAQ.

Star this term

You can study starred terms together

Voice Recording