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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 11 mile run. The hypotunuse of the triangle is the biking portion of the event. How far is the biking part of the triathlon?

Respuesta :

Answer:

The biking part of the triathlon is 11.70 miles away.

Step-by-step explanation:

From the right angle Δ ABC

[tex]AC^{2} = AB^{2} + BC^{2}[/tex]

Since AB = 4 mile

& BC = 11 miles

⇒ [tex]AC^{2} = 11^{2} + 4^{2}[/tex]

⇒ [tex]AC^{2}[/tex] = 121 + 16

⇒ [tex]AC^{2}[/tex] = 137

⇒ AC = [tex]\sqrt{137}[/tex]

⇒ AC = 11.70 miles

Thus the biking part of the triathlon is 11.70 miles away.

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