HOW MUCH SHORTER IT IS TO WALK DIALGONALLY ACROSS A RECTANGULAR FIELD THAT IS 80M LONG AND 60M WIDE THAN LONG TWO OF ITS ADJACENT SIDES.
Answer:
As we know that all the four angles of the rectangle are equal to 90o. Then the diagonal alongwith the two sides will form a right angle triangle.
By pythogoras theorom we know that:
Hypotenuse2= Perpendicular2+ Base2.
So Hypotenuse =√Perpendicular2+ Base2= (Here hypotenuse = ? and Perpendicular = Breadth of the rectangular field = 60 M and Base = Length of the rectangular field = 80 M).
Hypotenuse =√(80)2 + (60)2
Hypotenuse =√6400 + 3600
Hypotenuse =√10000 = 100 M.
If we had to walk on the adjacent side of the rectangular field, then we travel a distance of (80 + 60) = 140 M, and if we walk on the diagonal of the rectangular field we will travel = 100 M.
So we will walk (140 - 100) = 40 Mtrs less.
Ans: 40 Mtrs.