A circle with a radius of 8 is inscribed in a right triangle with one base being 20. What is the hypotenuse?

  • $\begingroup$ Hey, can you try to show what you have tried to do? Maybe show a picture or some calculations? That way we can help you. :) $\endgroup$
    – 4-ier
    Aug 22, 2018 at 5:40
  • 2
    $\begingroup$ Your question may benefit from a study of our guide to new askers. $\endgroup$ Aug 22, 2018 at 5:46
  • $\begingroup$ You could start by drawing a picture. Then think what you can deduce from the picture. What have you tried so far? $\endgroup$
    – Matti P.
    Aug 22, 2018 at 5:48

1 Answer 1


@Daniel Park, I am giving you a hint. Try to solve these equations $$ a^2+b^2=c^2\\ r = \frac{1}{2}\sqrt{a + b - c}\\ $$ where a, b are bases/legs/catheti,

c is the hypotenuse,

and r is the radius.

More useful information you can find here: A Right Triangle


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