Mathematics: Need help if someone can show how this is done plz

Need help if someone can show how this is done plz

Ответ:

Nathaliasmiles

22.01.2022

Mathematics

8.5

Step-by-step explanation:

use pythagorean theorem to find the other side of the tirange.

$a^{2} +b^{2} =c^{2}$

fill in what you know: $15^{2} + 8^{2} = c^{2}$

then solve for c $225 + 64 = c^{2}$ then $289 = c^{2}$ .

then take the square root of both sides because you just want c.

$\sqrt{289} = \sqrt{c^{2} }$ . then you get that c = 17. now, the radius is half of the diameter. the diameter is the segment ab, which we found to = 17, so if the radius if half the diameter, we divide 17 by 2 and we get 8.5. so, the radius of the circle is 8.5.