Click on the blue points and drag them to change the figure. Can the incenter (point D) be outside the triangle? How do you know. |
Manipulative 1 - Inscribed Triangle Created with GeoGebra. |
Step | Example | Description | ||
---|---|---|---|---|
1 | Start with triangle ABC. | |||
2 | Draw the angle bisector of angle ABC. | |||
3 | Draw the angle bisector of angle BCA. For steps 2 and 3, any two angles can be bisected. | |||
4 | Draw point D at the intersection of the angle bisectors. | |||
5 | Draw a line through point D perpendicular to side AB. Note that this line can be perpendicular to any of the sides. | |||
6 | Mark point E at the intersection of the perpendicular and side AB. | |||
7 | Draw a circle with center at D with a radius of DE. | |||
Understanding CheckUse the GeoGebra application below to construct the circumscribing circle about the rectangle.
To change the manipulative, first click on the arrow menu button. Then click on the blue points and drag them to change the figure. | ||||
Table 2: Inscribing a circle in a triangle. |
# | A | B | C | D |
E | F | G | H | I |
J | K | L | M | N |
O | P | Q | R | S |
T | U | V | W | Y |
Z | X |
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