# Right Triangles

- Author:
- Tosh

- Topic:
- Geometry, Right Triangles, Triangles

- Describe any relationship you see between the measurements of the sides of the triangles, as well as the areas of the three squares?

- Write an equation that relates

*a, b, c*.

*If a=3 and b=4*, what would side

*c*equal? Find the answer and re-create this in your figure.

- Find the are of the largest square. Then find the length of just one side of the largest square.

- Find the area of the two smaller squares in the diagram.

- When you found the length of just one side of the three squares. How does this help me find the length of the side of a right triangle?

## Instructions

- Open a new GeoGebra Classic window
- Go to Options and select “
**Labeling”,**check all new objects - Construct a
**Line Segment AB** - Construct
**Perpendicular line**through**Point A, Line Segment AB** - Construct
**Point C**, anywhere on the perpendicular line - Hide the
**Perpendicular Line** - Construct a
**Line Segment AC** - Construct a square
**BC**, by using the**Regular Polygon Tool** - Repeat Step 7 to create squares from
**Line Segment AC**and**Line Segment AB** *Check Work:*Is all your squares outside the triangle? If answer is No click undo and try selecting points opposite of the order.- Show Interior Angles of the Right Triangle
*.* - Rename the sides “A, B, C” to match the diagram
- Measure the length of
**A, B,C** - Measure the area of each square
- Show the
**Name and Value**of “A, B, C” - Drag B around and observe the measurements and areas you have just created.
- Set the font size of the text-box to
**Medium** - Set text-box to
**Absolute Position**on the screen - Set font size for the entire file to 18
- Save the with the file name: LastName_GeoGebra.ggb; On the
*Web version, you need to go to the menu and download file to ggb file.*