△ABC is inscribed in a circle such that vertices A and B lie on a diameter of the circle. If the length of the diameter of the c ircle is 13 and the length of chord BC is 5, find length AC. The length AC is
1 answer:
Answer:
AC=12
Step-by-step explanation:
If vertices A and B lie on a diameter of the circle means that angle of triangle on the vertice C is 90, si this is right triangle. Now we can use Pitagora’s theorem to find AC.
AB^2=AC^2+BC^2
13^2=AC^2+5^2
169=AC^2+25
AC^2=169-25=144
AC=12
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Step-by-step explanation:
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side length of square=10
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