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14. what are your leg lengths? 25 and 9 3 and 5 4 and 3 6 and 10

Question

  1. what are your leg lengths? 25 and 9 3 and 5 4 and 3 6 and 10

Explanation:

Step1: Assume it's a right - triangle problem.

Use the Pythagorean theorem \(a^{2}+b^{2}=c^{2}\), where \(c\) is the hypotenuse and \(a\) and \(b\) are the legs.

Step2: Check each option.

For option 1: \(25^{2}+9^{2}=625 + 81=706\), not a perfect - square for a common right - triangle hypotenuse.
For option 2: \(3^{2}+5^{2}=9 + 25 = 34\), not a perfect - square for a common right - triangle hypotenuse.
For option 3: \(4^{2}+3^{2}=16 + 9=25=5^{2}\), which is a well - known Pythagorean triple.
For option 4: \(6^{2}+10^{2}=36+100 = 136\), not a perfect - square for a common right - triangle hypotenuse.

Answer:

C. 4 and 3