Question

The length of triangles are consecutive odd integers. The perimeter is 87 cm. What is the length of the longest side.

Answer 1

x + (x+2) + (x+4) = 87

3x = 81

x = 27

So the longest side is 27+4 = 31

Answer 2

Answer:

The longest side is 31 cm

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.

From the question we can see are told that the three sides of the triangle sum up to be 87 cm and are consecutive odd integers. This means that there is a difference of 2 between each side length. Therefore we can create the following formula in order to solve this problem.

$x+(x+2)+(x+4) = 87$

Now that we have the formula we can solve for x.

$x+(x+2)+(x+4) = 87cm$.... combine like terms

$3x+6 = 87cm$ .....subtract 6 on both sides

$3x = 81cm$ ..... divide by 3 on both sides

$x = 27cm$

Now we can see that the smallest length is 27 cm, but we need to find the longest side. Thankfully we know that the longest side is

$27+4 = x$

$31 = x$

The longest side is 31 cm

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