hypotenuse of a triangle

label Mathematics
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The lawn in front of Pythagoras Jr. High is in the shape of a rectangle 24m long and 10 m wide. How many meters shorter is your walk if you walk diagonally across the lawn rather than along two sides of it? How do you solve this? 

Sep 29th, 2015

Thank you for the opportunity to help you with your question!

From the problem we see that the triangle that is obtained by drawing the diagonal line is

b=base=24m

w=wide= 10m

h=hypotenuse is

h=square-root(b^2 + w^2)= square-root(10^2 + 24^2)

h=square-root(100 + 576)=square-root(676)=26 m

J = (24+10)-26 = 34-26=8m

You walk 8 m shorter.

Please let me know if you need any clarification. I'm always happy to answer your questions.
Sep 29th, 2015

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Sep 29th, 2015
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