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

Question

10204 views around the world

You can reuse this answer
Creative Commons License

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#