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2 years ago

Please help solve the question been stuck for a while

Mathematics

1 answer:

Leni [432]2 years ago

5 0

Answer:

16 ft

Step-by-step explanation:

If you connect points A and C with a straight line, you will have a right triangle with hypotenuse AC (radius), shorter leg 1/2 of CD and the longer leg 1/2 of AB.

AC = radius = 10 ft

1/2 CD = 1/2 of 12 = 6 ft

So we can use Pythagoras' Theorem to find the length of the longer leg of the right triangle:

6² + b² = 10²

36 + b² = 100

b² = 100 - 36

b² = 64

b = √64 = 8

As b = 1/2 AB, then AB = 2 x b = 2 x 8 = 16 ft

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