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If CS = 4 and AD = 10, what is the measure of CD? Round to the nearest hundredth. Show all your work.

If CS 4 and AD 10 what is the measure of CD Round to the nearest hundredth Show all your work class=

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adioabiola

The measure of the length of line segment CD is; 12.8

Pythagoras theorem

Pythagoras theorem States that the square of the hypotenus of a triangle is equal to the sum of the square of the opposite and square of the adjacent side.

From the task content, the center of the circle is at point S and since CS = 4;

  • It follows that CA = 4× 2 = 8.

Hence, it follows from Pythagoras theorem that;

  • CD = √(8² + 10²)

  • CD = √64+100

  • CD = √164.

  • CD = 12.8

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