Question

The perimeter of a triangle is 49 cm. The first side is 7 cm longer than the other and 5 cm shorter than the third. Find the length of each side of the triangle.

Answer 1

Step-by-step explanation:

let the third side be x

one side is x - 7

another side is x + 5

we know that perimeter of triangle is 49 cm.

x + x - 7 + x + 5 = 49

3x - 3 = 49

3x = 49 + 3

x = 51÷3

x = 17

one side is 17

second side is 17 - 7 =10

another side is 17 + 5 = 22.

Answer 2

Let first side =x

second side =x-7

third side =x+5

perimeter of triangle =sum of all sides

49 =x+x+5+x-7

49 =3x-2

49+2=3x

51=3x

51/3 =x

17=x

Now,

x+5

=17+5

=22

x-7

=17-7

=10

thus, sides of triangle are 10cm 17 cm and 22cm