each side of triangle is increased by 10cm
If ratio of perimeter of new triangle and the
given triangle is 5:4, find the perimete of
given triangle
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Answer :
- Perimeter of given triangle is 120cm
Given :
- Each side of triangle is increased by 10cm
- Ratio of perimeter of new triangle and the given triangle is 5 : 4
To find :
- Perimeter of given triangle
Solution :
- Let the perimeter of given triangle be x
We know that , triangle has 3 sides
Each side of triangle is increased by 10cm then,
- x + 30 cm (perimeter of given triangle)
According to question ,
》x + 30 / x = 5/4
》4x + 120 = 5x
》5x - 4x = 120
》x = 120
Hence , Perimeter of given triangle is 120cm
Verification :
》4x + 120 = 5x
》4(120) + 120 = 5(120)
》480 + 120 = 600
》600 = 600
Hence Verified.
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