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the length of the radius is 4 + 6 = 10
\n" ); document.write( "that the length of AF.
\n" ); document.write( "AB and AD are also radii of the same circle.
\n" ); document.write( "if they're not already drawn in, then draw them in.
\n" ); document.write( "their length is also 10 each.
\n" ); document.write( "two right triangles are formed that will help.
\n" ); document.write( "triangle BCA and triangle DCA.
\n" ); document.write( "the right angle in both triangles is C.
\n" ); document.write( "one leg of each right triangle is the length of AC, which is 6, because AC is common to both triangles.
\n" ); document.write( "the hypotenuse of each right triangle is the length of AB for triangle BCA and the length of AD for triangle DCA, which are 10 each.
\n" ); document.write( "the other leg of each triangle is BC for BCA and CD for DCA.
\n" ); document.write( "these will each be the same length because they are they form the base of isosceles triangle BAD.
\n" ); document.write( "we'll call the length of each of these x because we don't know what that is right now.
\n" ); document.write( "BC and CD. have equal length because the altitude of an isosceles triangle divides the base into two equal segments, those equal segments being BC and CD.
\n" ); document.write( "by pythagorus, one leg squared plus the pother leg squared = hypotenuse squared.
\n" ); document.write( "for each of these triangles, this becomes 6 square plus x squared = 10 squared which becomes 36 + x^2 = 100.
\n" ); document.write( "solve for x^2 to get x^2 = 64
\n" ); document.write( "solve for x to get x = 8.
\n" ); document.write( "BC and CD are each equal to 8.
\n" ); document.write( "BC + CD = BD which is equal to 8 + 8 = 16.
\n" ); document.write( "that should be your answer.
\n" ); document.write( "BD is equal to 8. \n" ); document.write( "