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Confused on question in screenshot

Confused on question in screenshot-example-1

1 Answer

5 votes

Answer:

4 sqrt(3)

Explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

3^2 + (sqrt(39)^2 = c^2

9 + 39 = c^2

48 = c^2

Take the square root of each side

sqrt(48) = sqrt(c^2)

sqrt(16*3) = c

sqrt(16) sqrt(3) = c

4 sqrt(3) = c

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