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1 vote
AB = 8, BC = ??

A. 4
B. 2
C. 3
D. 5

1 Answer

4 votes

Final answer:

To find BC in the given problem, we can use the Pythagorean theorem to solve for the length of the hypotenuse of a right-angled triangle. However, since we only have the length of AB, we cannot determine the exact length of BC based on the given information.

Step-by-step explanation:

To find BC in the given problem, we need to understand that AB and BC are sides of a right-angled triangle. We can use the Pythagorean theorem to solve for BC.

Using the theorem a^2 + b^2 = c^2, where a and b are the lengths of the legs of the triangle, and c is the length of the hypotenuse, we have:

  • a = AB = 8
  • c = BC, the hypotenuse we want to find

Substituting these values into the formula, we get:

8^2 + b^2 = c^2

64 + b^2 = c^2

c^2 = 64 + b^2

Since we only have the values for AB, we can't solve for BC precisely without additional information. Therefore, we cannot determine the exact length of BC based on the given information.

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