Choose the equation that correctly uses the Pythagorean Theorem for the given right triangle.
x² + 6.8² = 3.8²
3.8² + x² = 6.8²
3.8² + 6.8² = x²
3.8² – x² = 6.8²
Question & Answer
Choose the equation that correctly uses the Pythagorean Theorem for the given right triangle.
1 Answer
Verified archiveThe correct equation that uses the Pythagorean Theorem for the given right triangle is:
3.8² + x² = 6.8².
### Explanation:
In a right triangle, the Pythagorean Theorem states that the sum of the squares of the two shorter sides (legs) is equal to the square of the longest side (hypotenuse). Here, if 6.8 is the length of the hypotenuse, then 3.8 and x are the lengths of the legs. Thus, the equation correctly represents this relationship.
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