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xenon108 xenon108
  • 24-03-2020
  • Mathematics
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#1 Determine if AB is tangent to the circle centered at point C. Explain your reasoning. * PLZ HELP

1 Determine if AB is tangent to the circle centered at point C Explain your reasoning PLZ HELP class=

Respuesta :

shilpa85475 shilpa85475
  • 01-04-2020

AB is a tangent to the circle

Solution:

Given data:

AB = 21, AC = 20 and BC = 29

To prove BC² = AB² + AC²:

BC² = 29²

BC² = 841

AB² + AC² = 21² + 20²

                 = 441 + 400

AB² + AC² = 841

So, BC² = AB² + AC².

Therefore by Pythagoras theorem, angle A is right angle.

Therefore AB is a tangent to the circle.

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