Each of two equal sides of a triangle is 3cm less than twice the third side. If the perimeter of the triangle is 69cm, find the length of it's sides
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let third side is x.
so,
first side = 2x- 3cm= second side
perimeter of triangle = sum of all sides
69 cm = x + 2x - 3 cm + 2 x - 3 cm
5x- 6 cm= 69 cm
5x= 69cm + 6cm
5x= 75 cm
x= 15 cm.
third side=x= 15 cm.
first side = second side = 2x- 3cm
2× 15 cm- 3cm
= 30 cm- 3cm
=27 cm.
so,
first side = 2x- 3cm= second side
perimeter of triangle = sum of all sides
69 cm = x + 2x - 3 cm + 2 x - 3 cm
5x- 6 cm= 69 cm
5x= 69cm + 6cm
5x= 75 cm
x= 15 cm.
third side=x= 15 cm.
first side = second side = 2x- 3cm
2× 15 cm- 3cm
= 30 cm- 3cm
=27 cm.
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