using pythagorean theorem, calculate the length of the unknown leg of a right triangle if the hypotenuse = 12 cm and the known leg = 6 cm?

Question

Mathematics

Gina Joseph

14 November, 18:17

using pythagorean theorem, calculate the length of the unknown leg of a right triangle if the hypotenuse = 12 cm and the known leg = 6 cm?

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Answers (1)

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Rachael Greer · Answer 1

6√3, 10.39230484 ...

Step-by-step explanation:

In the theorem, a^2+b^2=c^2, and c equals the longest side (in this case, hypotenuse). The known leg can be a. So now, we can substitute and our equation is 36+b^2=144. Subtract 36 from both sides, & b^2=108. Depending on what form the problem wants you to answer with, the answer could be 6√3, 10.39230484 ..., or the decimal simplified.