Line segments MP and ML are perpendicular chords in circle O. MP = 10 and ML = 24. Triangle L M P is inscribed within circle O. The length of M P is 10 and the length of M L is 24. Angle P M L is a right angle. Which statements about circle O are true? Select three options. The radius of circle O is 13. The diameter of circle O is 34. LP is a diameter of circle O. ∠LMP intercepts a semicircle. The measure of arc LP is 90°.

The radius of circle O is 13.

∠LMP intercepts a semicircle.

LP is a diameter of circle O

Step-by-step explanation:

Find the diagram attached

From the circle, PL is the diameter of the circle;

Also, LMP intercepts a semicircle since the triangle LMP is a triangle in the semicircle of the circle.

According to pythagoras theorem;

ML²+MP² = PL²

24²+10² = PL²

576 + 100 = PL²

676 = PL²

Swap

PL² = 676

PL = √676

PL = 26

Since radius = diameter/2

Radius of the circle = 26/2

Radius of the circle = 13

Hence the radius of circle O is 13.

23

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99

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