the length of the diagonal of a rectangle is 15cm. Find its length and area if it's breadth is 9 cm
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Given:
diagonal of a rectangle = 15cm
breath of rectangle = 9 CM
Solution :
let the side of rectangle be ABCD
consider that rectangle is made by two triangles
so, by using Pythagoras theorem
(AC)2 = (AB)2 + (BC)2
(15)2 = (9)2 + ( BC)2
225 = 81 + (BC)2
(BC)2 = 225 - 81
(BC)2 = 144
BC = 12
BC is the length of rectangle that is 12cm
Area of rectangle = length * breath
Area of rectangle = 12 * 9 = 108
so you answer is 108cm2
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