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The course for a local triathlon has the shape of a right triangle. The legs of the triangle consist of a 4-mile swim and a 10-mile run. The hypotenuse of the triangle is the biking portion of the event. How far is the biking part of the triathlon? Round to the nearest tenth if necessary.

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The biking portion is 10.8 miles.

Step-by-step explanation:

Given,

Length of legs of triangle = a and b = 4 and 10

Biking portion = Hypotenuse = c

As the triathlon has the shape of right angled triangle, therefore,

Using Pythagorean theorem

[tex]a^2+b^2=c^2\\(4)^2+(10)^2=c^2\\16+100=c^2\\116=c^2\\c^2=116[/tex]

Taking square root on both sides

[tex]\sqrt{c^2}=\sqrt{116}\\c=10.77[/tex]

Rounding to nearest tenth

c = 10.8 miles

The biking portion is 10.8 miles.

Keywords: triangle, pythagorean theorem

Learn more about triangles at:

  • brainly.com/question/11680012
  • brainly.com/question/11705002

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