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26 changes: 26 additions & 0 deletions data/handouts/Images/angles-90-60-30.asy
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import _common;

real a = 55;
pair B = (0, 0);
pair A = (a, 0);
pair Bp = (2 * a, 0);
pair C = (a, a * sqrt(3));

AngleMark(A, B, C, LightBlue);
RightAngleMark(B, A, C);

Draw(B, A);
Draw(B, C);
Draw(C, A);
Draw(A, Bp);
Draw(Bp, C);

LabeledDot(B, "B", SW);
LabeledDot(C, "C", N);
LabeledDot(Bp, "B'", SE);
LabeledDot(A, "A", S);

EdgeLabel(B, C, "2a", W, distanceOffset = 8);
EdgeLabel(C, Bp, "2a", E, distanceOffset = 8);
EdgeLabel(B, A, "a", S, distanceOffset = 8);
EdgeLabel(A, Bp, "a", S, distanceOffset = 8);
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298 changes: 298 additions & 0 deletions data/handouts/Images/angles-90-60-30.svg
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25 changes: 25 additions & 0 deletions data/handouts/Images/angles-Ssa-proof-isosceles.asy
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import _common;

// Isosceles BCA with |CB| = |CA| = base; angle ABC = alpha. Apex angle at C
// equals 180 − 2α, so from C (with B at direction 180°) point A sits at
// direction 2α (CCW from +x).
real base = 50, alpha = 40, farExtra = 35;
pair B = (0, 0);
pair C = (base, 0);
real swingR = base;
pair A = Polar(C, 2 * alpha, swingR);
pair Bfar = ExtendPast(B, A, farExtra);

AngleMark(C, B, A, LightRed, "\beta", labelPen = Red);

Circle(C, swingR, Red);
Draw(B, C, Blue);
Draw(C, A, Red);
Draw(B, Bfar);

LabeledDot(B, "B", SW);
LabeledDot(C, "C", SE);
LabeledDot(A, "A", N, Red);

EdgeLabel(B, C, "a", S, color = Blue);
EdgeLabel(C, A, "b", E, color = Red);
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