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Use the Pythagorean Theorem and the square root property to solve the following problem. Express your answer in simplified radical form. Then find a decimal approximation to the nearest tenth.
A rectangular park is 27 miles long and 9 miles wide. How long is a pedestrian route that runs diagonally across the​ park?

Respuesta :

reinhard10158

Step-by-step explanation:

the diagonal of a rectangle splits the rectangle into 2 right-angled triangles with the diagonal being the Hypotenuse.

so, using Pythagoras

diagonal² = 27² + 9² = 729 + 81 = 810

diagonal = sqrt(810) = 28.46049894... ≈ 28.5 miles

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