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.
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.