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mixas84 [53]
3 years ago
6

The Varners live on a corner lot. Often children cut across their lot to scar walking distance. The diagram to the right represe

nts the corner lot. The children’s path is represented by dashed line. Approximate the walking distance that is saved by cutting across their property instead of walking around the lot. Hypotenuse 34. Short leg x long leg x+12
Mathematics
1 answer:
icang [17]3 years ago
8 0
About 12.56 units. 
Solve for x by plugging in values into Pythagorean theorem.
a^{2} +b^{2} = c^{2}
x^{2} +(x+12)^{2} = 34^{2}
Simplify
2x^{2} + 24x+144 = 1156
Subtract 144 from both sides
2x^{2} + 24x = 1012
divide both sides by 2
x^{2} + 12x = 506
complete the square
x^{2} + 12x + 36 = 506 +36 . = (x+6)^2 = 542
take the square root of both sides.
x+6 = 23.28
subtract by 6 to get  about 17.28 for x.
Plug in values for x to get distance traveled on outside of the yard.
17.28 + (17.28 +12) = 46.56
subtract 34 from the length to get the difference in travel. 46.56-34=12.56

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