![]() ![]() Find BC and AC.įigure 3 An equiangular triangle with a specified side.īecause the triangle is equiangular, it is also equilateral. If m ∠ Q = 50°, find m ∠ R and m ∠ S.įigure 2 An isosceles triangle with a specified vertex angle.īecause m ∠ Q + m ∠ R + m ∠ S = 180°, and because QR = QS implies that m ∠ R = m ∠ S,Įxample 2: Figure 3 has Δ ABC with m ∠ A = m ∠ B = m ∠ C, and AB = 6. Theorem 35: If a triangle is equiangular, then it is also equilateral.Įxample 1: Figure has Δ QRS with QR = QS. Theorem 34: If two angles of a triangle are equal, then the sides opposite these angles are also equal. Theorem 33: If a triangle is equilateral, then it is also equiangular. Theorem 32: If two sides of a triangle are equal, then the angles opposite those sides are also equal. With a median drawn from the vertex to the base, BC, it can be proven that Δ BAX ≅ Δ CAX, which leads to several important theorems. Consider isosceles triangle ABC in Figure 1.įigure 1 An isosceles triangle with a median. Isosceles triangles are special and because of that there are unique relationships that involve their internal line segments. Summary of Coordinate Geometry Formulas.Slopes: Parallel and Perpendicular Lines.Similar Triangles: Perimeters and Areas.An isosceles triangle is a triangle with two equal sides, resulting in two angles of this triangle being the same. For a triangle, it always has a unique circumcenter and thus unique circumcircle. ![]()
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