Algebra

posted by .

The hypotenuse of a right triangle is 5cm long. One leg is 3cm longer than the other leg. Find the dimensions of the shorter leg. (give your answer in radical form)

  • Algebra -

    This is an application of Pythagoras' Theorem

    x^ + (x+3)^2 = 5^2

    expand and solve using the quadratic equation formula.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. intermediate algebra

    A right triangle has two legs and a hypotenuse. One leg of the triangle is 3 feet longer than the other leg. The hypotenuse is 15 feet. Find the length of each leg. I got 12 feet and the other leg is 9 feet Is this correct?
  2. intermediate algebra

    A right triangle has two legs and a hypotenuse. One leg of the triangle is 3 feet longer than the other leg. The hypotenuse is 15 feet. Find the length of each leg. I got 12 feet and the other leg is 9 feet Is this correct?
  3. 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?
  4. 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?
  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. 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 …
  7. 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?
  8. 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)
  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. algebra

    One more triangle question,please. In this triangle,the short leg is x and the longer leg is 1/2x + 11. If the hypotenuse is 2x + 1, what are the lengths of each side of this right triangle?

More Similar Questions