can you help me with this

Question

The lengths of the sides of a triangle are in the extended ratio 3 : 6 : 8. The triangle's perimeter is 510 cm. What are the lengths of the sides? Provide your answer in order of smallest to largest with no spaces or labels.

Answer 1

Hello Alexis,

The sides are in an extended ratio 3: 6: 8

Let's have the sides labeled as 3x, 6x and 8x.

Perimeter is equal to the sum of all three sides so P = 3x + 6x + 8x = 17x

Perimeter of this triangle is 510 cm so set 17x = 510

Divide by 17 and you get: x = 30

Multiply every number in the extended ratio by 30 to get the length of each side: so 3*30 = 90 cm

Do the same for 6 and for 8 and you will solve the problem. You got this!