Pythagorean Theorem

Definition: The Pythagorean Theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.

a² + b² = c², where a and b are legs, and c is the hypotenuse.
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Example: Find the length of x:

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Solution: 

We can use the Pythagorean Theorem to solve for the length of side x.

Step 1: Plug the given values into the formula, a² + b² = c², where the hypotenuse “c” in this case equals “x”
4² + 3² = x²
16 + 9 = x²
25 = x²
x = 5

The length of side x is 5.

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