It form's a right angle
Assuming x is the journey through west
And y is the journey through South
Leaving z the root back to sunshine from crismson
Where x=6 and y=8
Apply Pythagoras
x²+y²=z²
z=√(x²+y²)
If you want to reverse the journey and go back same way
Which one would be longer and which one would be shorter?
You and your friend enjoy riding your bicycles. Today is a beautiful sunny day, so the two of you are taking a
long ride out in the country side. Leaving your home in Sunshine, you ride 6 miles due west to the town of Happyville,
where you turn south and ride 8 miles to the town of Crimson. When the sun begins to go down, you decide that it is
time to start for home. There is a road that goes directly from Crimson back to Sunshine. If you want to take the
shortest route home, do you take this new road, or do you go back the way you came? Justify your decision. How much
further would the longer route be than the shorter route? Assume all roads are straight.
3 answers
new road
the route is a right triangle with the hypotenuse as the direct road
... shorter than the sum of the E-W and N-S roads
6^2 + 8^2 = ?^2
the route is a right triangle with the hypotenuse as the direct road
... shorter than the sum of the E-W and N-S roads
6^2 + 8^2 = ?^2
D^2 = x^2 + y^2 = 6^2 + 8^2 = 100
D = 10 miles = Displacement or distance from starting point = shorter route.
d = x + y = 6 + 8 = 14 miles = Total distance traveled = longer route.
D = 10 miles = Displacement or distance from starting point = shorter route.
d = x + y = 6 + 8 = 14 miles = Total distance traveled = longer route.
1 answer