Find the area of a rectangular plot, one side of which is 48 m and its diagonal is 50 m
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Diagonal of a rectangle of divides the rectangle into two equal right angled triangle.
There fore it will be an right angled triangle.
By using pythagoras theorem:-
(HYPOTENUSE)∧2=(SIDE)∧2+(SIDE)∧2.
Then HYPOTENUSE=50 m and SIDE=48 m and let the other side be X m.
(50)∧2=(48)∧2+(X)∧2.
(2500)=(2304)+(X)∧2.
(X)∧2=2500-2304.
(X)∧2=196.
X=√196.
X=14 m.
area of rectangle=(length)×(breadth).
⇒48 m×14 m=672 sq.m.
Area of given rectangular plot=672 sq. m.
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