PLEASEE Helpp A new road was built to reroute traffic around the park, as shown in the diagram below. About how many extra miles will the traffic travel?

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  A.  20 miles

Step-by-step explanation:

You will recognize this right triangle as a 3-4-5 right triangle scaled by a factor of 10 miles. That means the "old road" length is 50 miles. The new road lenth is 40+30 = 70 miles, so the added distance is ...

  70 miles - 50 miles = 20 miles . . . . extra travel distance

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Maybe you've never heard of a 3-4-5 right triangle, so you need to use the Pythagorean theorem to compute the length of the old road. It tells you the square of that length is the sum of the squares of the new road segment:

  OR² = 40² + 30²

  OR² = 1600 +900 = 2500

  OR = √2500 = 50 . . . . the length of the old road is 50 miles

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.