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In the figure to the​ right, if ACequals16 and BCequals13​, what is the​ radius?

User Bab
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1 Answer

5 votes

Answer:


√(87) \approx 9.33\: Units

Explanation:

The figure is attached below.

In Right Triangle ABC, the length of the radius of the circle is |AB|

|AC|=16, |BC|=13

Using Pythagoras Theorem


Hypotenuse^2=Opposite^2+Adjacent^2\\|AC|^2=|BC|^2+|AB|^2\\16^2=13^2+|AB|^2\\|AB|^2=16^2-13^2\\|AB|^2=87\\|AB|=√(87)\\|AB|= 9.33\: Units

Radius of the Circle =9.33 Units.

In the figure to the​ right, if ACequals16 and BCequals13​, what is the​ radius?-example-1
User Linusz
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4.3k points