two equal sides of a triangle are each 5 meters less than twice the third side.the perimeter of the triangle is 55 meters. find the length the length of its sides
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Step-by-step explanation:
Two sides of a triangle a/q
let it be x
2x-16 and 2x-16 and the third side is x
A/Q
2x-16+2x-16+x = 15
5x -32=15
5x=15+32
5x=47
x=47 by 5
the third side is 47 by 5 m
first and second side is 69 by 5 metres
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SOLUTION
let the third side of ∆ be x m.
let the third side of ∆ be x m.Then, Each equal side of ∆= (2x-5)m.
Given, perimeter of ∆= 55m
Perimeter of ∆= Sum of all sides of the∆
=)x+2x-5+2x-5= 55
=) 5x-10= 55
=) 5x= 55+10
=) 5x= 65
=) x=65/5
=)x= 13
Hence, the dimensions of the ∆= 13m
1st side= x= 13m
2nd side= 2x-5= 2×13-5
=) 26-5
=) 21m
Similarly, as 3rd side = 21m
hope it helps ☺️
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