Geometry Regents - June 2009
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June 2009 Regents Exam
Geometry - June 2009 Regents - Q #13Contrapositive
Centroid and medians of triangles
Using Pythagoras Theorem
AB2 = 62 + 82
AB = 10
Given AD = x then DB = 10 - AD = 10 - x
Let CD = y
Using Pythagoras Theorem
x2 + y2 = 62 ... (1)
(10 - x)2 + y2 = 82
100 - 20x + x2 + y2 = 82
100 – 20x + (x2 + y2) = 82
Substituting from equation (1)
100 - 20x + 62 = 82
20x = 72
x = 3.6
The answer is (1) 3.6
Tangent and secant of a circle
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