math

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..

  1. 👍 0
  2. 👎 0
  3. 👁 350
  1. 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

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    1. Find the length of the hypotenuse of a right triangle with legs of 9 cm and 12 cm A. 8 cm B. 21 cm C. 15 cm D. 225 cm the length of the hypotenuse of a right triangle with legs of 13 cm the length of one leg is 5 cm find the

  2. Intermediate Algebra

    One leg of a right triangle has a length of 5 m. The other sides have lengths that are consecutive integers. Find these lengths. The other leg is ____ m The length of the hypotenuse is ____ m Is my answer correct? The other leg is

  3. trigonometry

    one leg of the right triangle is 10 cm and the hypotenuse is 20 cm longer than the other leg.Find the lenght of the unknown sides.

  4. Math-check my answers please :)

    1.Find the length of the hypotenuse of a right triangle with the legs of 9cm and 12cm A.8 B.21 C.15*** D.225 2.The length of a hypotenuse of a right triangle is 13cm. The length of one leg is 5cm. Find the length of the other leg.

  1. 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

  2. math

    5. Find the length of the hypotenuse of a right triangle with legs of 20 cm and 21 cm. 41 cm 841 cm 6 cm 29 cm 6. The length of the hypotenuse of a right triangle is 15 cm. The length of one leg is 9 cm. Find the length of the

  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 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.

  1. math

    A right triangle has one leg four times as long as the other. Find a function that models its perimeter P in terms of the length x of the shorter leg.

  2. Algebra

    In a right triangle the leg opposite to the acute angle of 30° is 7 in. Find the hypotenuse and other leg.

  3. math

    The shortest leg of a triangle is 2 inches shorter than the other leg. The hypotenuse of this triangle is 10 inches. What are the lengths of the two legs of this triangle?

  4. Math

    Each triangle is a 30-60-90 triangle, and the hypotenuse of one triangle is the longer leg of an adjacent triangle. The hypotenuse of the largest triangle is 8 centimeters. What is the number of centimeters in the length of the

You can view more similar questions or ask a new question.