SOLUTION: Two joining chords in a semicircle have lengths 1 cm and 2 cm, as shown. Find the exact radius, r cm, of the semicircle. http://imgur.com/KWNd6Ba Please show all working out.

Algebra ->  Pythagorean-theorem -> SOLUTION: Two joining chords in a semicircle have lengths 1 cm and 2 cm, as shown. Find the exact radius, r cm, of the semicircle. http://imgur.com/KWNd6Ba Please show all working out.      Log On


   



Question 1021280: Two joining chords in a semicircle have lengths 1 cm and 2 cm,
as shown. Find the exact radius, r cm, of the semicircle.
http://imgur.com/KWNd6Ba
Please show all working out. Thank you.

Answer by josgarithmetic(39631) About Me  (Show Source):
You can put this solution on YOUR website!
Some knowledge to know about that kind of triangle with one segment the diameter of the circle is that it is a RIGHT triangle, and the drawing includes a reminder marking to tell you that.

Side lengths: r+r, 1, and 2.
Hypotenuse: 2r.

1%5E2%2B2%5E2=%282r%29%5E2-------starts with Pythagorean Theorem Formula.