Answered

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HELP DUE IN 10 MINS! Find the missing side measurement.

Your answer should be a simplified radical or a whole number. (no decimals allowed)

x=

HELP DUE IN 10 MINS Find The Missing Side Measurement Your Answer Should Be A Simplified Radical Or A Whole Number No Decimals Allowed X class=

Sagot :

Answer:

x = 3√7

Step-by-step explanation:

The Pythagorean theorem states that in a right triangle, the sum of the legs squared and added together is equal to the hypotenuse (the longest side and the one across the 90° angle)

If the legs are a and b, respectfully, and the hypotenuse is c, the equation would be:

a² + b² = c²

Let's apply this to the problem given.

9² + x² = 12²

Simplify.

81 + x² = 144

Subtract 81 from both sides.

x² = 63

Take the square root.

√(x²) = √63 = √(9 * 7) = √(3² * 7)

x = 3√7

Check the answer.

9² + (3√7)² = 12²

81 + 9 * 7 = 144

81 + 63 = 144

144 = 144

Thus, the answer is correct.

I hope this helps! Feel free to ask any questions! :)

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