Answer:
50cm, 99cm, 145cm
Step-by-step explanation:
The perimeter is just the distance around the triangle. We have all three sides.
So
(x+2) + (2x + 3) + (3x + 1) = 294
Combine like terms
6x + 6 = 294
Subtract 6 on both sides
6x = 288
Divide 6 on both sides
x = 48
So the sides are
x + 2 = 48 + 2 = 50 cm
2x + 3 = 2(48) + 3 = 96 + 3 = 99 cm
3x + 1 = 3(48) + 1 = 145 cm
Checking, first:
50 + 99 + 145 = 194 cm
Plug in x = 48 to the original equation.
48 + 2 + 2(48) + 3 + 3(48) + 1 = 294
48 + 2 + 96 + 3 + 144 + 1 = 294
294 = 294
