Question

The lengths of the three sides of a triangle are consecutive odd intergers if the perimeter is 39 cm find the lenght of each sid

Answer 1

Hey there !

Solution:

Given that the sides of each triangle are of the form of consecutive odd numbers. So general form of consecutive odd numbers would be :

• ( x - 2 ) , ( x ) , ( x + 2 )

Also the perimeter is said to be 39 cm. So if we add up all the sides of the triangle we get 39 cm as the perimeter.

So,

=> x + x + 2 + x - 2 = 39

=> 3x + 2 - 2 = 39

=> 3x = 39

=> x = 39 / 3 = 13

So the other two sides are, ( x - 2 ) = ( 13 - 2 ) = 11 cm

( x + 2 ) = ( 13 + 2 ) = 15 cm.

So the sides of the triangle are 11 cm , 13 cm, 15 cm.

Hope my answer helped !

Answer 2

Let the smallest side be x

The other 2 sides are (x + 2) and (x + 4)

The perimeter is 39:

x + (x + 2) + (x + 4) = 39

x + x + 2 + x + 4 = 39

3x + 6 = 39

3x = 33

x = 11

Find the sides:

First side = x = 11 cm

Second side = 11 + 2 = 13 cm

Third side = 11 + 4 = 15 cm

Answer: The length of the sides are 11cm , 13cm and 15 cm