the pair of adjecent sides of recyangle are in the ratio 5:12.if the length of the diagnol is 26 cm find the length of the sides and perimeter
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Answer:
sides=24*10 cm
perimeter=68 cm
Step-by-step explanation:
let the side=x
therefore, (5x)^2 + (12x)^2= (26)^2 (using pythagoras rule)
25x^2+144x^2= 676
169x^2 = 676
x^2 = 676/169
this implies, x = 26/13= 2cm
therefore, length= 2*12= 24cm
breadth=2*5= 10 cm
Perimeter = 2(l+b) = 2(24+10) = 2*34 = 68 cm.
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