Question

rectangular park is 10 miles long and 5 miles wide. How long is a pedestrian route that runs diagonally across the park simplified radical form, the pedestrian route is miles long.

Answer 1

To find the length of the pedestrian route that runs diagonally across the park, we can use the Pythagorean Theorem. The pedestrian route is approximately 11.18 miles long.

Step-by-step explanation:

To find the length of the pedestrian route that runs diagonally across the park, we can use the Pythagorean Theorem. The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

In this case, the length of the park is the base of the right triangle, the width of the park is the height of the right triangle, and the pedestrian route is the hypotenuse. So, we can calculate the length of the pedestrian route using the equation:

c² = a² + b²

where c is the length of the pedestrian route, a is the length of the park, and b is the width of the park.

Plugging in the values: c² = 10² + 5² = 100 + 25 = 125. Simplifying the radical form, the pedestrian route is approximately 11.18 miles long.