in a triangle ,the longest side is double the shortest side.and the third side is three cm less than the longest side.if the perimeter of the triangle is 27 cm,find the all sides of triangle
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Answered by
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Hey mate. ...
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Let the shortest side of the triangle be x
And the longest side of the triangle be 2x
Given,
The third side is 3cm less than than the longest side. I.e. 2x - 3
We know,
Perimeter of a triangle = Sum of all its sides.
=> 27 = x + 2x + ( 2x - 3 )
=> 27 = 3x + 2x - 3
=> 27 + 3 = 5x
=> 30 = 5x
=> 30/ 5 = x
=> 6 = x
Therefore,
The shortest side of the triangle is 6 cm
The longest side of the triangle is ( 2 × 6 ) cm = 12cm
The third side of the triangle is ( 12 - 3 ) cm = 9 cm
Hope it helps !!
=====÷===
Let the shortest side of the triangle be x
And the longest side of the triangle be 2x
Given,
The third side is 3cm less than than the longest side. I.e. 2x - 3
We know,
Perimeter of a triangle = Sum of all its sides.
=> 27 = x + 2x + ( 2x - 3 )
=> 27 = 3x + 2x - 3
=> 27 + 3 = 5x
=> 30 = 5x
=> 30/ 5 = x
=> 6 = x
Therefore,
The shortest side of the triangle is 6 cm
The longest side of the triangle is ( 2 × 6 ) cm = 12cm
The third side of the triangle is ( 12 - 3 ) cm = 9 cm
Hope it helps !!
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