Subjects geometry

Pythagorean Theorem Ffc4D7

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1. The problem involves using the Pythagorean theorem, which relates the lengths of the sides of a right triangle. 2. The Pythagorean theorem formula is $$a^2 + b^2 = c^2$$ where $a$ and $b$ are the legs of the triangle and $c$ is the hypotenuse. 3. To solve a problem using this theorem, identify the two legs and the hypotenuse. 4. Substitute the known values into the formula. 5. If solving for the hypotenuse, calculate $$c = \sqrt{a^2 + b^2}$$. 6. If solving for a leg, rearrange the formula to $$a = \sqrt{c^2 - b^2}$$ or $$b = \sqrt{c^2 - a^2}$$. 7. Simplify the expression under the square root and then find the square root to get the length. This method allows you to find the missing side length of a right triangle using the Pythagorean theorem.