math

posted by .

The hypotenuse of a right triangle is 1 cm more than twice the shorter leg, and the longer leg is 9 cm less than three times the shorter leg. Find the lengths of the three sides of the triangle..

  • math -

    if the short leg is x,

    x^2 + (3x-9)^2 = (2x+1)^2
    x = 5/3 or 8

    check:
    x=5/3, no good; 3x-9 < 0
    x=8: triangle is 8-15-17
    a well-known Pythagorean triple

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Quadratic Equations

    The longer leg of a right triangle is 3 ft longer than three times the shorter leg. The hypotenuse is 3 ft shorter than four times the shorter leg. Find the lengths of the three sides of the right triangle. (Please provide steps/explanation …
  2. math

    did i do this right? The hypotenuse of a 30 ┬ĘC 60-90 right triangle measure 18cm. What are the lengths of the longer leg and shorter leg?
  3. Math

    A toy manufacturer needs a piece of plastic in the shape of a right triangle with the longer leg 5cm more than the shorter leg and the hypotenuse 10 cm more than the shorter leg. How long should the sides of the triangles be?
  4. math

    The longer leg of a right triangle is 3 more than the shorter leg. The Hypotenuse is 6 more than the shorter leg. If the perimeter of the triangle is 36, find the length of each side of the right triangle. [ Only an algebraic solution …
  5. Algebra

    the longer legs of a right triangle is 20 cm more than twice the length of the shorter leg. The length of the hypotenuse is 22 cm more than twice the length of the shorter leg. Find the side lengths of the triangle
  6. Algebra

    the length of the longer leg of a right triangle is 13 ft more than 3 times the length of the shorter leg. the length of the hypotenuse is 14 ft more than 3 times the length of the shorter leg. Find the side lengths of the triangle
  7. Math

    The length of the hypotenuse of a right triangle is 2m more than the longer leg. The longer leg is 7m longer than the shorter leg. Find the perimeter of the triangle. ( please explain as you go)
  8. math

    the shorter leg of a right triangle is 9 inches shorter than the longer leg. the hypotenuse is 9 inches longer than the longer leg. find the side lengths of the triangle
  9. algebra

    Please show solution to this problem. In triangle A, the longer leg is 6 more than the shorter leg and the hypotenuse is 6 more than the longer leg. Find the lengths of each side of this right triangle. Show all calculations. Short …
  10. Math 50

    The shorter leg of a right triangle is 6 inches shorter than the longer leg. The hypotenuse is 6 inches longer than the longer leg. Find the side lengths of the triangle.

More Similar Questions