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To construct a triangle when two angles and the included side are given. |
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To construct a triangle when two angles and the included side are given. |
Given:  A,
B, and
line segment EF |
| Required: To construct a
triangle with A,
B, and
Side EF between them. |
| 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 EF. |
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Label
the intersection of the circle with the segment AX, B. |
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At A construct YAX
= A
(help) |
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At B construct ABZ
= B.
(help) |
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Label the intersection of ray AY with ray BZ, point C. |
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Triangle ABC is the required triangle. |
| Proof: |
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Triangle ABC has the required A,
B, and
side EF. |
| Sketch: |
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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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