The perimeter of the following triangle is 57 cm. what are the lengths of the sides of the triangle?
the sides of the triangle in the picture have on the left side 3x-6 the right 2(x+6) and the bottom 2x+9
All three sides have to total 57 cm
Side 1 3x-6
2 2x+12
3 2x+9
Add them together, equate to 57 and solve for 'x'
3x-6 + 2x+12 + 2x+9 = 57 Add 'like' terms
7x +15 = 57 subtract 15 from both sides
7x = 42
x = 6
Side 1 = 3(6)-6 =12 cm
Side 2 = 2(6) + 12 = 24 cm
Side 3 = 2(6)+9 = 21 cm