Question

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

Answer 1

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

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

$\therefore FB \times FA = FC \times FD$

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

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

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

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

$\implies 4 + DC = 6$

$\implies DC = 6 - 4$

$\implies DC = 2$

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