Question

the perimeter of a triangle is 30cm. It's sides are in the ratio of 1:3:2 then the smallest number is

Answer 1

$let \: the \: required \: sides \: be \: x \: 3x \: 2x \: . \\ then \\ \\ \\ \\ \\ perimeter \: of \: triangle \: = sum \: of \: all \: side \\ \\ \\ x + 3x + 2x = 30 \\ \\ 6x = 30 \\ x = \frac{30}{6} \\ x = 5 \\ \\ \\ therefore \: the \: sides \: are \\ \\ x =5 \\ \\ 3x = 15 \\ 2x = 10$
therefore the smallest side is 5
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Answer 2

Perimeter of a triangle = sum of all three sides
Let the sides be 1x 3x and 2x
Therefore,
Perimeter =
1x+3x+2x=30
=6x=30
Therefore
X=30/6=5


Then the smallest side = 1x=1*5=5cm