Respuesta :
Answer:
24
Step-by-step explanation:
Line segment ON is perpendicular to line segment ML. Line segment OM = 13 units in length, line segment PN = 8 units in length.
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.
The Length of the Chord ML is; 24 Units
What is the Length of the Chord?
From the question, we are told that;
MO, NO and LO are radii.
Now, If MO = 13,then LO = NO = 13
However, if NO = 13 and NP = 8, It means that;
PO = NO - NP
PO = 13 - 8 = 5
With the aid of Pythagoras Theorem, we can find MP:
MP = √(MO² - PO²)
MP = √(13² - 5²)
MP = √(169 - 25)
MP = √(144)
MP = 12 units
Now, P is the midpoint of Segment ML, Thus;
MP = PL
ML = MP + PL
ML = 12 + 12
ML = 24 units
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