Answer:
Correct answer: R = 16.9 units
Step-by-step explanation:
The center of the circle described around the obtuse triangle lies outside the inner area of the triangle and is obtained in the cross section of the sides. Here we have two similar triangles whose corresponding sides are proportional and the radius of the circle is R = 5 + x
13 : 5 = (5 + x) : 13/2 ⇒ 5 · (5 + x) = 13²/2 ⇒ 5 x + 25 = 169/2
5 x = 169/2 - 25 = (169 - 50)/2 = 119/2 ⇒ x = 119/10 = 11.9
R = 11.9 + 5 = 16.9 units
R = 16.9 units
Sorry, but I don't have the tools to draw a proper drawing.
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