1.

Find and correct the error in finding the length of CD. Justify your reasoning. show work please.

Answer»

Here, two \:chords \:AB \: and \:CD ,\: when

produced, \: meet \:at \:a \:point \: F.

\therefore FB \times FA = FC \times FD

\implies ( FA + AB) \times FA = ( FD + DC )\times FD

\implies ( 3 + 5 )\times 3 = ( 4 + DC ) \times 4

\implies 8 \times 3 = ( 4 + DC ) \times 4

\implies \times {8 \times 3 }{4} = 4 + DC

\implies 4 + DC = 6

\implies DC = 6 - 4

\implies DC = 2

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