The perimeter of a triangle is 51 cm. The lengths of its sides are consecutive odd integers. How do you find the lengths?

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Answer 1 · 2018-05-16T07:25:35

16, 17 and 18

#a+b+c=51#
#a+a+1+a+2=51#
#3a=48#
#a=16#
#b=17#
#c=18#

Answer 2 · 2018-05-16T07:33:13

The sides are #15cm, 17cm and 19cm#

Let the shortest side be #x#.

If the sides are consecutive odd integers, the other two sides will be #(x+2) and (x+4)#

The perimeter is the sum of the sides.

#x+x+2+x+4 = 51#

#3x +6 = 51#

#3x=51-6#

#3x=45#

#x=15#

The length of the shortest side.

The other sides are #17cm and 19cm#