Ask Question
21 June, 21:57

The lengths of the sides of a triangle have a ratio of 3:6:8. The perimeter is 510cm; Find the lengths of all sides

+5
Answers (1)
  1. 21 June, 22:18
    0
    Step-by-step explanation:

    Ratios exist because the constant of variation, k, is the same number multiplied into each side to keep them all proportionate to one another.

    The question is basically asking us to find the value of k that not only keeps these sides in proportion to one another, but also has the perimeter come to 510. Because k is the same number and is our unknown, we can multiply each side by k and set the sum of the sides equal to 510.

    3k + 6k + 8k = 510 and

    17k = 510 so

    k = 30

    That means the lengths of 3 (30) = 90, 6 (30) = 180, and 8 (30) = 240 are the lengths of the sides. 90 + 180 + 240 = 510
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “The lengths of the sides of a triangle have a ratio of 3:6:8. The perimeter is 510cm; Find the lengths of all sides ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers