The middle side of a triangle is 3 cm longer than the shortest side, and the longest side is 4 cm longer than the middle side. Find the lengths of all three sides if the perimeter is 97 cm.

shortest side = 29 cm

middle side = 29 + 3 = 32 cm

longest side = 32 + 4 = 36 cm

Step-by-step explanation:

Let,

Shortest side = x

Middle side = x + 3

Longest side = x+3+4

Now according to condition,

x+x+3+x+3+4 = 97 cm

3x + 10 = 97 cm

3x = 97 - 10 cm

3x = 87 cm

x = 87/3 cm

x = 29 cm

Now putting value of x in three sides we get,

Shortest side = 29 cm

Middle side = 32 cm

Longest side = 36 cm