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To construct a triangle when two sides and the included angle are given. |
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To construct a triangle when two sides and the included angle are given. |
Given:  A
and line segments AB and AC |
Required: To construct a 
with A
and sides AC and AB. |
| Procedure: |
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Use the straightedge tool and lay off a base line AX. |
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Construct YAX
= A
(help) |
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Use the circle by center + radius command under the
construct menu and construct a circle with center A and radius congruent
to segment AB. |
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Label the intersection of this circle and ray AB,
point B |
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Use the circle by center + radius command under the construct menu and
construct a circle with center A and radius congruent to segment AC. |
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Label the intersection of this circle and ray AX,
point C. |
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Use the segment command under the construct menu and construct segment BC. |
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ABC
is the required . |
| Proof: |
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ABC
meets the requirements. |
| Sketch: In the sketch below, drag the endpoints to change the length of the given line segments; how does the triangle change? Do you always have a triangle? What happens when you change the measure of angle A? |
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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 two sides and included angle |
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