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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?
A. 20 units
B. 24 units
C. 26 units
D. 30 units

It is B.

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 poi class=

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Answer: 24 units

Step-by-step explanation:

From the question:

MO, NO and LO are radii.

If MO = 13, THEN LO = NO = 13

IF NO = 13 and NP = 8, THEREFORE,

PO = NO - NP

PO = 13 - 8 = 5

USING PYTHAGORAS, WE CAN FIND MP:

MP = Sqrt(MO^2 - PO^2)

MP = sqrt(13^2 - 5^2)

MP = sqrt(169 - 25)

MP = sqrt(144)

MP = 12 units

P is the midpoint of Segment ML,

THEREFORE,

MP = PL

ML = MP + PL

ML = 12 + 12

ML = 24 units

Answer:

b.) 24 units

Step-by-step explanation:

correct on edg.

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