# Tangent Values and Nested Triangles

- Author:
- Linda Fahlberg-Stojanovska

- Topic:
- Triangles

Click and drag the angle α to any value between 0° and 90°. Then click and drag b and b' to make any 2 right-triangles you want with angle α.
Look at first triangle: Divide the length of the side opposite the angle α by the length adjacent to the angle α. Write this number down.
Look at the second triangle and again divide the lenth of the side opposite the angle α by the length adjacent to the angle α. It should be the same number!
This is the value of tan(α).

Pick an angle α and find the tan(α) on this worksheet. Use the Move drawing pad tool to get an empty space on the worksheet. Then draw 2 points anywhere - not even on the same horizontal (but not too far apart ). Use these 2 points to draw a right-triangle with angle α . Divide the length of the side opposite the angle α by the length of the side adjacent to α . You should get tan(α).