Each side of a triangle is increased by 10 cm . If the ratio of the perimeter of the new triangle and the given triangle is 5:4. Then find the perimeter of the given triangle.
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a triangle has three sides
- First side of triangle = x
- Second side of triange = x +10
- Third side of triangle = x + 10 + 10
perimeter of tirange is sum of all side
perimeter = 5x + 4x = 9x
- x + x + 10 + x + 10 + 10
- 3x + 30 = 9x
- 30 = 9x - 3 = 6x
- x = 30/6 = 5
First side = 5
Second side = 5 + 10 = 15
Third side = 5 + 10 + 10 = 25
Perimeter of Triangle = 25 + 15 + 5 = 45 cm.
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