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schepotkina [342]
3 years ago
6

#1 Determine if AB is tangent to the circle centered at point C. Explain your reasoning. * PLZ HELP

Mathematics
1 answer:
Hatshy [7]3 years ago
7 0

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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