GeoGebra Classroom

# Triangle Congruence: SSS

## Construct a triangle with the following sides: 3, 5, and 6.

What are the angles of any triangle with sides of the following lengths: 3, 5, and 6?

## Use the applet below to answer the questions that follow. If you want, you may use the following instructions to save time.

1. Select the SLIDER tool, and click in a corner of your graph. Change the minimum to 0, and the maximum to 10. Repeat 3 times to create sliders a, b, and c. 2. Select the SEGMENT WITH GIVEN LENGTH tool, and enter c for the length. The enables slider c to control the length of this segment, which is opposite point C. 3. Select the CIRCLE: CENTER & RADIUS tool, click on point A, and enter b for the radius. This enables slider b to control the length of the segment that will be opposite vertex B. 4. With the CIRCLE: CENTER & RADIUS tool still selected, click on point B, and enter a for the radius. 5. Use the INTERSECT tool, the POLYGON tool, and the ANGLE tool to complete a triangle. Then use the MOVE tool to adjust the sliders to create the triangles below. Click on the MOVE GRAPHICS VIEW tool to reveal more tools that may be useful.

What are the angles of a triangle with sides 2, 6, and 7?

What are the angles of a triangle with sides 2, 3, and 4?

What are the angles of a triangle with sides 3, 5, and 7?

What are the angles of a triangle with sides 3, 5, and 7?