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An ironwoman race involves 3 swim legs and a beach run back to the start as shown in the figure.
What is the total distance covered in the race?

An Ironwoman Race Involves 3 Swim Legs And A Beach Run Back To The Start As Shown In The FigureWhat Is The Total Distance Covered In The Race class=

Sagot :

akposevictor

Answer:

593 m

Step-by-step explanation:

Total distance covered = perimeter of the trapezoid

= 100 + 75 + 250 + the length of the slant side (2nd swim)

Apply Pythagorean theorem to find the slant side (hypotenuse) since it forms a right triangle if we consider the distance between the parallel bases of the trapezoid.

Thus, let "x" represent the side length we are looking for.

Applying Pythagorean theorem, we have:

x² = 75² + (250 - 100)²

x² = 75² + 150²

x² = 28,125

x = √28,125

x = 167.705098 ≈ 168 m

✔️Total distance covered = 100 + 75 + 250 + 168 = 593 m

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