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Svetradugi [14.3K]
2 years ago
8

Find the length of "a", to the nearest tenth, using the Pythagorean Theorem. Enter

Mathematics
1 answer:
bearhunter [10]2 years ago
8 0

Answer:

\sqrt{28} \approx 5.3

Step-by-step explanation:

The Pythagorean Theorem says if you have a right triangle, then relationship between the three sides is the sum of the square of each leg is the hypotenuse squared.

So a^2+b^2=c^2

where a and b are legs and c is the hypotenuse.

Plug in your a,b, and c. In this case it is a,6, and 8.

This means we have

a^2+6^2=8^2

Simplify where you can before we begin the solving (the moving around of things to other sides).

a^2+36=64

Now time for the solving. We are first going to get a^2 by itself.

To do this, we just need to subtract 36 on both sides giving us:

a^2=64-36

a^2=28

Now to get rid of the square on a, just square root both sides:

a=\sqrt{28}.

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