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

Omar Jalalzada asked Jan 1, 2022

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32 votes

The perimeter of a

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

Omar Jalalzada asked Jan 1, 2022

2.7k points

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15 votes

Answer:

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

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

Mickey Segal answered Jan 8, 2022

2.8k points

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