10. Sides of a triangle are in the ratio of 12:17: 25. Find its Sides if the semiperimeter is 54cm?
Case study)(1M each)(Solve any four)(8 M)
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- semiperimeter = 54 cm
- ratio of sides = 12:17:25
let their common ratio be x
we know,
- semiperimeter = sum of three sides / 2
- first side = 12x
- second side = 17x
- third side = 25x
- semiperimeter = 12x + 17x + 25x / 2
54 = 54x/2
x = 54×2 / 54
x = 2
- first side = 12x = 12(2) = 24 cm
- second side = 17x = 17(2) = 34 cm
- third side = 25x = 25(2) = 50 cm
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