Line segments mp and ml are perpendicular chords in circle o. mp = 10 and ml = 24. which statements about circle o are true? check all that apply. 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°.

Applying the pythagorean theorem in the triangle lmp, we have: ,  thus,  (units.)from this calculation, it is clear that the radius is 13. the diameter is not 34.lp is indeed the diameter, as the if we circumscribe a circle to any right triangle, the hypotenuse is the diameter.  (we can prove it in other ways as well, but the answer is very obvious as o, the center, is a point of hypotenuse lp.)the measure of arc lp is twice the measure of angle  ∠lmp since it is intercepted by it. thus, m(arc lp)= 2m(∠lmp  )=2*90°=180°.so we have: the radius of circle o is 13.              truethe diameter of circle o is 34.          not truelp is a diameter of circle o.              true∠lmp intercepts a semicircle.          truethe measure of arc lp is 90°.          not true