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Lengths of Tangents Drawn from External Point

The lengths o...

Question

The lengths of three consecutive sides of a quadrilateral circumscrbing a circle are 4cm, 5cm, and 7 cm respectively. Determine the length of the fourth side.

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Solution

Given: AB =7, BC = 5, CD =4

Length of tangents drawn from an external point to the circle are equal.

$∴$ AB + CD = BC + AD

7 + 4 = 5 + AD

AD = 11 - 5 = 6

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Lengths of Tangents Drawn from External Point

Standard X Mathematics

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