Tangents to a circle intersect, and another line is drawn through that intersection. Show that the products of opposite sides of the blue quadrilateral are equal.
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Solution
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One reply on “Harmonious symmetry”
Triangle ABC is similar to Triangle ACD.
AC/CD = AB/BC
f/a =AB/d
a/d= f/AB similarly b/c = e/AB
a/d =b/c or ac=bd