SOLUTION: /AB/ IS A CHORD OF A CIRCLE OF RADIUS 10CM,M IS A MID-POINT OF /AB/ AND /NM/ PERPENDICULAR TO /AB/,IF /MN/=2CM CALCULATE /AB/

Algebra ->  Trigonometry-basics -> SOLUTION: /AB/ IS A CHORD OF A CIRCLE OF RADIUS 10CM,M IS A MID-POINT OF /AB/ AND /NM/ PERPENDICULAR TO /AB/,IF /MN/=2CM CALCULATE /AB/      Log On


   

Question 1179689: /AB/ IS A CHORD OF A CIRCLE OF RADIUS 10CM,M IS A MID-POINT OF /AB/ AND /NM/ PERPENDICULAR TO /AB/,IF /MN/=2CM CALCULATE /AB/
Found 2 solutions by ikleyn, mananth:
Answer by ikleyn(52810) About Me  (Show Source):
You can put this solution on YOUR website!
.

Make a sketch.


In the sketch, find a right-angled triangle and apply the Pythagorean theorem.


    |AB| = 2%2Asqrt%2810%5E2-2%5E2%29 = 2%2Asqrt%2896%29 = 2%2A4%2Asqrt%286%29 = 8%2Asqrt%286%29 = 19.6 cm  (rounded).    ANSWER

Solved.



Answer by mananth(16946) About Me  (Show Source):