Question

a triangle has sides whose measures are consecutive odd numbers. if the perimeter is 57 cm, find the measure of each side. linear equations in one variable.

Answer 1

Answer:

the first side =17cm

second side=19cm

third side =21 cm

Step-by-step explanation:

as the sides are three consecutive odd integars

so, let the first side be=x

second side=x+2

and third side=x+4

(2 is added each time as difference between any two consecutive odd integers is two)

so perimeter of triangle =sum of all three sides

perimeter =57cm (given)

now, x+(x+2)+(x+4)=57

3x+6=57

3x=57-6=51

x=51/3=17cm

so, first side=x=17cm

second side=x+2=17+2=19cm

third side=x+4=17+4=21cm

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