Respuesta :

nightstarshooter

Answer:

8.5 Units

Step-by-step explanation:

The radius of a circle is always half of the diameter. To find the length of AB, we can use Pythagorean's equation.

a² + b² = c²

(15)² + (8)² = c²

225 + 64 = c²

√289 = √c²

c = 17

This means that AB is 17 units. Now that we know the diameter, we only need to divide it in half to get the value of our radius.

17 ÷ 2 = 8.5 Units

~Hope this helps!~

The radius of the circle O that has the right angle triangle inscribed is gotten as; 8.5 units

What is the triangle theorem?

Given that a line that pass through the origin and form a triangle is a right-angle triangle. So in order to find the diameter/hypotenuse, you have to use Pythogaras Theorem :

c² = a² + b²

Let a = 15 units,

Let b = 8 units,

Let c = hypotenuse

Thus;

c = √(15² + 8²)

c = √289

c = 17

Now, c is the diameter of the circle and as such;

radius = diameter/2 = 17/2 = 8.5

Read more about triangle theorem at; https://brainly.com/question/654982

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