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Isosceles Triangle Demo

Isosceles Triangle Demo
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2017-01-20 22:42
TriangleAngleGeometric Construction
This example demonstrates the properties and construction of isosceles triangles. It involves core mathematical concepts like triangle classification, angle relationships, distance measurement, and coordinate geometry. The construction uses GeoGebra commands such as Point, Segment, Distance, Angle, and PolyLine to create the triangle, measure distances, and display angles. It is suitable for high school mathematics teaching to understand the symmetry and geometric construction of isosceles triangles.

GeoGebra Commands & Parameters

  1. Point(Circle[A, 7]) → B
  2. Segment(A, B) → f
  3. Point(Circle[A, 7]) → C
  4. Segment(A, C) → g
  5. Segment(C, B) → h
  6. Distance(C, A) → distanceCA
  7. Distance(B, A) → distanceBA
  8. Distance(B, C) → distanceBC
  9. Angle(C, A, B) → α
  10. Angle(B, C, A) → β
  11. Angle(A, B, C) → γ
  12. PolyLine((-1.9831638252350765, -0.8084080931404014), (NaN, NaN), (NaN, NaN), (-2.0461823535483874, -1.1550099988636109), (NaN, NaN), (-2.0461823535483874, -1.1550099988636109), (-2.0934462497833706, -1.2022738950985938), (-2.1407101460183533, -1.2337831592552493), (-2.1879740422533365, -1.2652924234119047), (-2.2352379384883196, -1.2810470554902325), (-2.282501834723303, -1.2968016875685602), (-2.329765730958286, -1.249537791333577), (-1.9831638252350765, -0.8084080931404014), (-2.3455203630366137, -1.2022738950985938), (-2.3455203630366137, -1.1392553667852832), (-2.3612749951149414, -1.0762368384719723), (-2.377029627193269, -1.0289729422369893), true, (-2.0304277214700597, -0.8241627252187291), (-2.077691617705043, -0.8714266214537122), (-2.1092008818616983, -0.9344451497670231), (-2.1407101460183533, -0.9817090460020061), (-2.1879740422533365, -1.0132183101586616), (-2.203728674331664, -1.0604822063936445), (-2.219483306409992, -1.1077461026286277)) → stroke1
  13. PolyLine((1.8767210339552116, -0.8399173572970569), (NaN, NaN), (2.1603044113651104, -1.2022738950985938), (2.1603044113651104, -1.2652924234119047), (NaN, NaN), (2.317850732148387, -1.2180285271769216), (NaN, NaN), (2.317850732148387, -1.2180285271769216), (2.30209610007006, -1.2652924234119047), (2.2705868359134045, -1.312556319646888), (2.2548322038350768, -1.3598202158818709), (2.2233229396784213, -1.407084112116854), (1.8767210339552116, -0.8399173572970569), (2.176059043443438, -1.4385933762735095), (2.128795147208455, -1.470102640430165), (2.0972858830517995, -1.4228387441951817), (2.065776618895144, -1.3755748479601986), (2.0342673547384886, -1.3283109517252156), (1.9870034585035057, -1.312556319646888), (1.9397395622685225, -1.2652924234119047), true, (1.9239849301901948, -0.8714266214537122), (1.9397395622685225, -0.9186905176886954), (2.002758090581833, -0.9659544139236784), (2.0342673547384886, -1.0132183101586616), (2.0500219868168164, -1.0604822063936445), (2.0972858830517995, -1.1077461026286277), (2.128795147208455, -1.1550099988636109)) → stroke2
  14. PolyLine((-0.10836260791407937, 2.7048748603266755), (NaN, NaN), (0.08069297702585311, 2.9569489735799186), (0.0491837128691977, 3.0042128698149018), (0.03342908079086999, 3.051476766049885), (-0.013834815444113129, 3.098740662284868), (-0.029589447522440835, 3.1460045585198513), (-0.07685334375742396, 3.161759190598179), (-0.09260797583575166, 3.2090230868331617), (-0.15562650414906248, 3.1775138226765067), (-0.1713811362273902, 3.1302499264415236), (-0.2028904003840456, 3.0829860302065404), (-0.10836260791407937, 2.7048748603266755), (-0.21864503246237332, 3.035722133971557), (-0.2501542966190287, 2.988458237736574), true, (-0.10836260791407937, 2.7678933886399864), (-0.10836260791407937, 2.8309119169532972), (-0.10836260791407937, 2.893930445266608), (-0.10836260791407937, 2.9569489735799186), (NaN, NaN), (0.08069297702585311, 2.9569489735799186), (NaN, NaN)) → stroke3
  15. PolyLine((-1.5420341270419007, 1.3027126053555103), (NaN, NaN), (-1.9201452969217656, 1.5862959827654088), true, (-1.5420341270419007, 1.3027126053555103), (-1.5892980232768839, 1.3342218695121657), (-1.6365619195118668, 1.3657311336688212), (-1.68382581574685, 1.412995029903804), (-1.7310897119818331, 1.4445042940604595), (-1.7783536082168163, 1.476013558217115), (-1.8256175044517993, 1.5232774544520982), (-1.8728814006867824, 1.5547867186087534)) → stroke4
  16. PolyLine((1.2937996470570865, 1.2554487091205273), (NaN, NaN), (1.7034200810936069, 1.4917681902954427), (1.7349293452502623, 1.539032086530426), (1.7821932414852455, 1.5547867186087534), (1.8294571377202284, 1.5705413506870811), true, (1.2937996470570865, 1.2554487091205273), (1.3568181753703974, 1.2554487091205273), (1.4040820716053803, 1.2869579732771825), (1.4513459678403635, 1.318467237433838), (1.4986098640753467, 1.3342218695121657), (1.5301191282320021, 1.3814857657471489), (1.593137656545313, 1.412995029903804), (1.640401552780296, 1.4602589261387873)) → stroke5