Mario06 Mario06
  • 20-05-2020
  • Mathematics
contestada

If AC=16 and BC=13 what is the radius

Respuesta :

PiaDeveau PiaDeveau
  • 28-05-2020

Answer:

Radius AB = 9.3 units

Step-by-step explanation:

Given:

BC (tangent) make right angle with radius AB.

AC = 16 units

BC = 13 units

Find:

Radius AB = ?

Computation:

Using Pythagoras theorem:

[tex]Hypotenuse^2 = Perpendicular^2 +Base^2\\\\AB =\sqrt{AC^2 -BC^2}\\\\ AB =\sqrt{16^2 -13^2}\\\\AB =\sqrt{256 -169}\\\\AB =\sqrt{87}\\\\AB =9.327[/tex]

Radius AB = 9.3 units

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