Question

One side of triangle is 4cm longer than the shortest side and 2cm shorter than the longest side. The perimeter is 38cm. Find the dimension of the triangle

Answer 1

x = one side of triangle

s = shortest side

l = longest side

P = perimeter


Conditions:

x = s + 4

x - 4 = s

s = x - 4


x = l - 2

x + 2 = l

l = x + 2


P = x + s + l = 38

x + x - 4 + x + 2 = 38

3 x - 2 = 38

3 x = 38 + 2

3 x = 40

x = 40 / 3 cm = 13.333... cm


s = x - 4

s = 40 / 3 - 4

s = 40 / 3 - 12 / 3

s = 28 / 3 cm = 9.333... cm


l = x + 2

l = 40 / 3 + 2

l = 40 / 3 + 6 / 3

l = 46 / 3 cm = 15.333 cm

Answer 2

Shorter side = X cm.
Medium side = x+4 cm.
Longest side = x+6 cm.

x + (x+4) + (x+6) = 38.
X = 9.33 cm.
x+4 = 13.33 cm.
x+6 = 15.33 cm.