In the figure shown, L is the center of the circle, and PQ is a chord of the circle measuring 30 centimeters. (cm)

What is the length, in centimeters, of PL ?

**The length of PQ is given as 30 cm.**

The length of PM is half of PQ, which would be 15 cm.

A right triangle is created with legs of 15 and 8. PL would be the hypotenuse of the triangle.

The length of PM is half of PQ, which would be 15 cm.

A right triangle is created with legs of 15 and 8. PL would be the hypotenuse of the triangle.

**Pythagorean Theorem**

a² + b² = c²{sum of the squares of the legs is equal to the square of the hypotenuse}

a² + b² = c²

8² + 15² = c² {substituted given information into the Pythagorean Theorem}

64 + 225 = c² {evaluated exponents}

289 = c² {added 64 and 225}

c = 17 {took square root of each side}

**PL = 17 cm**

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