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To construct a triangle when three sides are given. |
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To construct a triangle when three sides are given. |
| Given: Segments BC, AC, AB |
| Required: To construct a triangle with sides BC, AC, and AB |
| Procedure: |
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Use the straightedge tool and lay off a base segment AX |
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Use the circle by center + radius command under the construct menu and
construct a circle with A as center and radius congruent to segment AB. |
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Use the circle by center + radius command under the
construct menu and construct a circle with A as center and radius
congruent to segment AC. |
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Use the circle by center + radius command under the construct menu
and construct a circle with B as center and radius congruent to segment BC. |
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Label the intersection of the last two circles as
point C. |
 ABC
is the required |
| Proof: |
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ABC
has sides congruent in length to segments BC, AC, AB by construction,
therefore is the required triangle. |
| Sketch: On the sketch below, can you move the points in the actual sketch? Try moving the end points of the given segments. Do you always have a triangle? Can you always make a triangle out of three given line segments? |
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This page uses JavaSketchpad, a World-Wide-Web component of The Geometer's Sketchpad. Copyright © 1990-2001 by KCP Technologies, Inc. Licensed only for non-commercial use. triangle with three given sides |
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