The Pythagorean theorem helps find the missing side of a right triangle, given the lengths of other sides.
The Pythagorean theorem states that in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the hypotenuse. This can be expressed as:
a2 + b2 = c2
Given a hypotenuse of length \[tex]\(\sqrt{20}\\)[/tex] cm and one leg of length \[tex]\(\sqrt{12}\\)[/tex] cm, we can calculate the length of the other leg using the Pythagorean theorem.
By substituting the values into the formula, we get: \[tex]\(\sqrt{12}^2 + b^2 = \sqrt{20}^2\\)[/tex]. Solving for b will give you the length of the missing leg.
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