A rectangular triangle with legs 8 and 15 cm is inscribed in a circle. What is the radius of this circle?

Here the Pythagorean theorem will help us.
AC ^ 2 = AB ^ 2 + BC ^ 2
AC ^ 2 = 8 ^ 2 + 15 ^ 2
AC ^ 2 = 64 + 225
AC ^ 2 = 289
AC = 17cm
Now let’s find r (radius). In order to find the radius it is necessary to divide the AC side by 2.
17: 2 = 8.5 cm (radius)
Answer: the radius is 8.5 cm.



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