Q1.The length of a rectangle is 24 m and its diagonal is 30 m find the breadth and area of the rectangle.
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Since , the breadth is not given and length and diagonal is given.
In∆BDC ,BD= 30cm & CD= 24cm
We have to find BC which is the breadth of the Rectangle
By using Pythagoras theorem in ∆BDC
H²=p²+b²
H is the hypotenuse, p is the perpendicular & b is the base.
In ∆ BDC
BD is the hypotenuse , BC is the perpendicular & CD is the base
➙BD²=BC²+CD²
➙(30)²=BC²+(24)²
➙900= BC²+576
➙BC²= 900-576
➙BC²=324
➙BC=√324=18
Hence, breadth of the Rectangle is 18cm
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