Question

Find the unknown segment (x) in each of the following figure. Use the theorem of two

Answer 1

Key points :-

★ The theorem states that the products of the lengths of the line segments on each chord are equal.

★ When two points of a circle are joined by a line that line is known as chord.

★ The longest chord is known as diameter of circle.

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#1

$\sf\:AB×BD=CB×DE\\\sf\:AB=3, BD=6,CB=9, BE=x\\ \sf\: 3×6=9×x\\ \sf \: 18 = 9x \\ \sf \: 9x = 18 \\ \boxed{ \tt \: x = 2}$

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You can solve the others yourself for practice...