Christine Ico

Problem number 18

Problem

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Created with GeoGebra – Shared by Singko_Matematicas

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Write Up

Steps and Construction

1) First step you will construct your equivalent triangle. To construct an equivalent triangle you should use the icon(circle with center through point) twice. And locate the intersection of this two circles using the icon (intersect two objects). And use the icon (line through two points) to connect the points.

2) Construct a circle inside the equivalent triangle. To construct this circle inside the triangle, you will locate first the midpoint of the triangle. To locate the midpoint, use the icon (angle bisector) on each side of your triangle.

3) Then on the third step you will construct your circumscribed circle. To construct, use the icon (circle through three points) to the end point of your triangle.

4) Construct your escribed circle. To construct this figure you should use the icon (angle bisector) to have a point outside the triangle.

Then construct your circle from the point you made.

Then hide the excess lines and circles that you didn’t need to. After hiding use the icon (distance/ length) to check the measure of the radius of your circles.

5) And lastly use the icon (tangents) to make sure that your circles is tangent to each other.