Question

The perimeter of a

triangle is 42cm.
The sidelengths
are x,x+2 and
x+4, what is the
length of the longest
side ?

Answer 1

The longest side is 16 cm

Explanation:

`x + (x + 2) + (x + 4) = 42cm \\ x + x + 2 + x + 4 = 42cm \\ 3x + 6 = 42cm \\ 3x = 36cm \\ x = 12`

check and finish

`12 + (12 + 2) + (12 + 4) = 42cm \\ 12 + 12 + 12 + 6 = 42 cm\\ 36 + 6 = 42cm \\ 42cm = 42cm`

lengths of sides

`12 + 4 = 16cm \\ 12 + 2 = 14cm \\ 12cm`