math

posted by .

a trianglar course for a sailing race is marked off by buoys. The first lef is 250 meters longer than the second and the third leg is 100 meters shorter then the first. if the length of the course is 2500 meters, find the length of each length

  • math -

    Let x represent the length of the second side.

    What is the length of the first side? We know that it is 250 meter more than the second side, which is x. How do you express that?

    What is the length of the third side? We know that it is 100 meters shorter than the first side. Once you've figured out (from just above) how to correctly express the length of the first side, then the length of the third side is just that value minus 100.

    You should then have all 3 sides' lengths expressed in terms of x. You are given the perimeter, which is equal to the sum of the lengths of the 3 sides. So just setup an equation with the perimeter on one side and the 3 lengths summed on the other. Then solve for x.

    Now that you have x, which is the length of the 2nd side, just plug that value into the expressions that represent the other 2 sides.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    This problem is really confusing, I have been trying and I can't get the answer, can you help me?
  2. math

    the first side of a triangle is 8 meters longer than the second side. the third side is 3 times the second side. the perimeter is 128 meters. find the lengths of the three sides.
  3. Math

    A room is in the shape of a right triangle. The hypotenuse is 8 meters longer than the short leg and the long leg is 4 meters longer than the short leg. Find the length of each side. (ok, now how can it be done if I change each side …
  4. math

    A garden has the shape of a right triangle with one leg 3 meters longer tha the other. The hypotenuse is 3 meters less than twice the lenght of the shorter leg.
  5. Algebra

    A lot is in the shape of a right triangle. The shorter leg measures 90 meters. The hypotenuse is 30 meters longer than the length of the longer leg. How long is the longer leg?
  6. Physics

    Two runners have a race. The first runner decides to run with his full speed v₁=9 m/s over the 250 meters of the race and then slows to v₂=7 m/s for the rest, since he's tired. The second runner wants to save energy, so …
  7. Algebra, URGENT!!!

    1) The first leg of a right triangle is 6 cm longer than its second leg. If the hypotenuse has a length of 8 cm, find the exact lengths of the two legs. First Leg: Second Leg: 2) The length of a rectangle is 10 m longer than its width …
  8. Algebra

    How do I answer this? Robert needs to cut four shelves from a board that is 2.5 meters long. The second shelf is 18 centimeters longer than twice the length of the first shelf. The third shelf is 12 centimeters shorter than the first
  9. Algebraic Geometry

    A 33 kilometer bicycle race course is designed in the shape of a triangle. The first leg of the race is 5 km shorter than the second, and the third leg is twice the first. Find the distance of each leg of the race.
  10. algebra

    A garden has the shape of a right triangle with one leg 8 meters longer than the other. The hypotenuse is 8 meters less than twice the length of the shorter leg. What is the length of the shorter​ leg?

More Similar Questions