Atriangle has side lengths of 11 cm and 9 cm. which could the value of the third side, 20 cm or 15 cm?

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So basically, to find a missing side length of a triangle you have to use Pythagorean theorem, which is A^2 + B^2 = C^2. Plug in 11^2 and 9^ = C^2 since we need to find the side length of C. 11 squared is 121 and 9 squared is 81, so you're left with, 121 + 81 = C^2. You are then left with, after adding, 102 = C^2. You then would take the square root of 202 and get 14.20 as the length of C. Now it is closet to 15 cm, so we can assume that side length of side C, would be indeed 15 cm, not 20 cm.

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