Which point is the vertex of the graph defined by f(x) = 6|x − 2| − 5? A. (6, 5) B. (2, -5) C. (0, 0) D. (6, -2)
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Since LM = AM, point M must be on the perpendicular bisector of AL. Since AM = BM, BL must be perpendicular to AL. This makes ∆ALC a right triangle with hypotenuse AC twice the length of side AL. Hence ∠LAC = ∠LAB = 60°, and AL is angle bisector, median, and altitude.
ΔABC is isosceles with ∠A = 120°, and ∠B = ∠C = 30°.
