Question

The perimeter of a triangle is 37 cm. The lengths of its sides are x cm, x + 3 cm, and x + 7 cm. What is the length, in cm, of the longest

side of the triangle?

Answer 1

16cm

Explanation:

x + x + 3 + x + 7 = 37 (make all sides equal 37)

3x + 10 = 37 (Add x's and coefficiants together)

-10 -10 (subtract 10 from each side)

3x = 27 (divide 27 by 3)

x = 9 (answer)

x, x + 3, x + 7 (finding longest length)

9, 9 + 3, 9 + 7 (Substitute 9 for x)

9cm, 12cm, 16cm (add each together)

16cm (answer)

Answer 2

x + (x +3) + (x +7) = 37

3x = 27

x = 9

Longest side = x + 7 = 16 cm

Explanation: