4300246306 4300246306
  • 23-04-2020
  • Mathematics
contestada

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

Respuesta :

Newton9022 Newton9022
  • 01-05-2020

Answer:

[tex]\sqrt{87} \approx 9.33\: Units[/tex]

Step-by-step 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

[tex]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|=\sqrt{87}\\|AB|= 9.33\: Units[/tex]

Radius of the Circle =9.33 Units.

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