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what is the length, in feet, of the hypotenuse of a right triangle with legs that are 6 feet long and 7 feet long, respectively

Sagot :

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Answer:

9.22 feet

Step-by-step explanation:

To find the sides of a right triangle, we use the Pythagorean Theorem:

a² + b² = c²

a and b are each one side. c is the hypotenuse.

Let's plug in what we know.

a² + b² = c²

(6)² + (7)² = c²

Evaluate the exponents.

36 + 49 = c²

Add.

85 = c²

Take the square root of both sides.

√85 = √c²

√85 = c

9.22 = c

The hypotenuse is about 9.22 feet long.

Hope this helps!

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