Question

A triangle has a perimeter of 165 cm. The first side is 65 cm less than twice the second side. The third side is 10 cm less than the second side. Find the length of each side of the triangle.

What equation represents the length of the third side if the second side is length s?
2s - 10
2s + 10
s - 10
s + 10

Answer 1

s-10

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Answer 2

side - equation - measurement

1st side - 2s - 65 - 55cm

2nd side - s - 60cm

3rd side - s - 10 - 50cm

Explanation:

total = 165

side - s

1st side = 2s - 65

2nd side = s

3rd side = s - 10

1st side + second side + 3rd side = 165

2s - 65 + s + s - 10 = 165

2s + s + s - 65 - 10 = 165

4s - 75 = 165

4s = 165+ 75

4s = 240

s = 60

1st side = 2s - 65

= 2(60) - 65

= 120 - 65

= 55cm

2nd side = s

= 60cm

3rd side = s - 10

= 60 - 10

= 50cm

3rd side is represented by s - 10 as it is less than the second side by 10cm hence taking away the 10 from the side forming the equation s - 10