Questions on Geometry: Points, lines, angles, perimeter answered by real tutors!

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Question 159287This question is from textbook
: to go to a stadium from your house you drive 1000 m north then 500 mi west then 1500 mi south. what is the straight line distance from your house to the stadiumThis question is from textbook
: to go to a stadium from your house you drive 1000 m north then 500 mi west then 1500 mi south. what is the straight line distance from your house to the stadium
Answer by edjones(2415) About Me  (Show Source):
You can put this solution on YOUR website!
This is equivalent to driving 500 mi south and 500 mi west. There is an isosceles right triangle.
2a^2=c^2
2*250000=500000
sqrt(500000)=707.107 mi (the slow way)
.
On the SAT test we know that if both sides are 1 then the hypotenuse is sqrt(2).
So if you multiply the side time sqrt(2) you get the answer the fast way!
500*sqrt(2)=707.107
.
Ed