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

  1. 👍 0
  2. 👎 0
  3. 👁 701
  1. x^2 + (2x+20)^2 = (2x+22)^2

    x^2+ 4 x^2 + 80 x + 400 = 4 x^2+88x + 484

    x^2 - 8 x - 84 = 0
    (x-14)(x+6) = 0
    x = 14
    2x+20 = 48
    2x+22 = 50

    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. Math PLZZ

    1. Which set of numbers represents a Pythagorean triple? 6, 9, 12 7, 10, 12 16, 18, 25 27, 36, 45* 2. If the lengths of the legs in a right triangle are 7 and 8, what is the approximate length of the hypotenuse? 1.4 3.8 5.4* 10.6

  3. algebra

    This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the triangle is 15.7 centimeters. The equation 2a + b = 15.7 can be used to find the side lengths. If one

  4. Math Help Please

    1. Which set of numbers represents a Pythagorean triple? 6, 9, 12 7, 10, 12 16, 18, 25 27, 36, 45 ** 2. If the lengths of the legs in a right triangle are 7 and 8, what is the approximate length of the hypotenuse? 1.4 3.8 5.4 10.6

  1. Math

    1. Find the length of the missing side of the right triangle (A triangle is shown to have a base of 15 cm and a height of 8 cm. The slope of it is unmarked A. 289 cm B. 17 cm *** C. 23 cm D. 4.79 cm 2. Find the length of the

  2. Trigonometry

    The hypotenuse of a right triangle is 34cm. find the length of the two legs, if one leg is 14cm longer than the other.

  3. math

    The area of a right triangle is 44m squared. Find the lengths of its legs if one of the legs is 3m longer than the other.

  4. 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

  1. Algebra

    Which statement about a right triangle is NOT true? A.) The hypotenuse is the longest side of the triangle. B.) The square of the hypotenuse is equal to the sum of the squares of the other two lengths. C.) The sum of the length of

  2. Math

    Find the length of the hypotenuse of a right triangle with legs of 20 cm and 21 cm. A. 41 cm** B. 841 cm C. 6 cm D. 29 cm

  3. math

    The hypotenuse of a right triangle measures 10m. One leg of the triangle is 2m longer then the other. Find the lengths of the legs. How would you solve this equation?

  4. Trig

    The length of the base of an isosceles triangle is one fourth the length of one of its legs. If the perimeter of the triangle is 16 inches, what is the length of the base?

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