The biking portion of the triathlon is 11.7 miles far
Step-by-step explanation:
Let us revise the relation between the two legs of a right triangle and
the hypotenuse
Hypotenuse = [tex]\sqrt{(leg_{1})^{2}+(leg_{2})^{2}}[/tex]
To find the length of the hypotenuse
1. Square the length of each leg
2. Add the squares of the legs
3. Find the square root of the sum
∵ The legs of the triangle consist of a 4 mile swim and a 11 mile run
∴ [tex]leg_{1}[/tex] = 4
∴ [tex]leg_{2}[/tex] = 11
∵ ( [tex]leg_{1}[/tex] )² = (4)² = 16
∵ ( [tex]leg_{2}[/tex] )² = (11)² = 121
∴ ( [tex]leg_{1}[/tex] )² + ( [tex]leg_{2}[/tex] )² = 16 + 121 = 137
∵ The hypotenuse of the triangle is the biking portion of the event
∵ Hypotenuse = [tex]\sqrt{(leg_{1})^{2}+(leg_{2})^{2}}[/tex]
∴ Hypotenuse = [tex]\sqrt{137}[/tex] = 11.7
The biking portion of the triathlon is 11.7 miles far
Learn more:
You can learn more about Pythagoras Theorem in brainly.com/question/1238144
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