Question

Line segment ON is perpendicular to line segment ML.

Circle O is shown. Line segments M O, N O, and L O are radii. Lines are drawn to connects points M and N and points N and L to form chords. A line is drawn from point M to point L and intersects line O N at point P. The length of O M is 13 and the length of P N is 8. Angle O P L is a right angle.


What is the length of chord ML?


20 units

24 units

26 units

30 units

Answer 1

24

Explanation:

Answer 2

B. 24 units

Explanation:

Each triangle has 13 as the hypotenuse and 8 as a leg length; the lengths carry over.

The longer leg length (MP & PL) is 12 from the pythagorean theorem.

13^2 - 8^2 = 12^2.

MP + ML = PL, so 12 + 12 = 24.