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The diagonal of a rectangular field is 60 meters more than the shorter side. If the longer side is 30 meters more than the shorter side, find the sides of the field ?

Related query the diagonal of a rectangular field is 60 by quadratic formula, the diagonal of a rectangular field is 16 meters more than the shorter sidethe difference of squares of two numbers is 180, diagonal of a rectangular field formulathe perimeter of a rectangle is 104 m, a train travels 360 km, the diagonal of a rectangle abcd intersect at o, the diagonal of a rectangle is root 41.


Solution:
Let length of shorter side be x
∴ The Length of  longer side = x + 30
The diagonal of a rectangular field is 60 meters more than the shorter side. If the longer side is 30 meters more than the shorter side, find the sides of the field ?,Chapter-4,Exercise-4.3,Math- Class 10,
⇒ From Pythagoras Theorem
            ⇒ From Pythagoras Theorem
A/Q
⇒ The diagonal is 60 meters more than the shorter side
        h = x + 60
⇒ The diagonal is 60 meters more than the shorter side
Squaring On Both Side
⇒ Length can not be negative , so -30 is rejected.
∴ Length of shorter side is = 90 m
⇒ Then Length of longer side = 90 + 30 = 120 m

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