Question

One side of a triangle is 84cm the other two sides are in the ratio 3:8 If the perimeter is 282cm find the the longest and shortest side

Answer 1

Let x be the shortest side of the triangle. Then the other side is 8x/3. The perimeter of the triangle is the sum of all three sides, so we have:

x + 84 + 8x/3 = 282

Multiplying both sides by 3, we get:

3x + 252 + 8x = 846

11x = 594

x = 54

So the shortest side of the triangle is 54 cm. The longest side is 8x/3 = 144 cm.