# Triangle: Area

In the applet below,

**a triangle is shown**. You can change the sizes of the**blue angle**and**pink angle**by using the sliders in the lower-left corner. You can also move the white points anywhere you'd like at any time. Interact with the applet below for a few minutes. Then answer the questions that follow.## Area of a Triangle = ?

## 1.

In this applet's dynamics, the triangle was transformed into another figure. What kind of figure is it? How can you convince a sceptic that your answer is correct?

## 2.

How does the **area of the newer figure** compare with the **area of the original triangle**?

## 3.

How does the **BASE **of the newer figure compare with the **BASE** of the original triangle?

## 4.

How does the **HEIGHT** of the newer figure compare with the **HEIGHT** of the original triangle?

## 5.

Given your responses to (1) - (4) above, describe how you can find the area of **ANY TRIANGLE. **