Question

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A soccer field is a rectangle 100 meters wide and 130 meters long. The coach asks players to run from one corner to the other corner diagonally across. What is that distance?

Answer 1

10 sqrt(269) = c

164.0121947 = c

Explanation:

The diagonal is the hypotenuse of the right triangle

The length and width are the legs of the right triangle

We can use the Pythagorean theorem

a^2 + b^2 =c^2

100^2 + 130^2 = c^2

10000+16900 = c^2

26900 = c^2

Take the square root of each side

sqrt(26900) = sqrt(c^2)

sqrt( 269) sqrt(100) = c

10 sqrt(269) = c

164.0121947 = c