# Similar Triangles in a Right Triangle

- Author:
- Karen Rowe, Tim Brzezinski

This resource is an enhancement of Similar Right Triangles (V1). Thank you to Karen Campe for providing suggestions for improvement!

**Students:**Interact with the applet below for a few minutes. After doing so, please answer the questions that follow.## You can move the LARGE WHITE VERTICES anywhere you'd like!

## 1.

What is the sum of the measures of the red and blue angles? How do you know this to be true?

## 2.

The segment that was drawn as you dragged the slider is called an **altitude.
**This **altitude **was **drawn to the hypotenuse**. **
**How many right triangles did this **altitude** split the original right triangle into?

## 3.

What does the the special movement of the red and blue angles imply about these 2 smaller right triangles? What previously learned theorem justifies your answer?

## 4.

Does your response for (3) also hold true for the relationship between the ORIGINAL BIG RIGHT TRIANGLE and either one of the smaller right triangles? If so, how/why do you know this?