Maths(help me plz..!

posted by .

The sides of a triangle are of lenths x*-y*, x*+y* and 2xy units respectively. Prove that the triangle is a right angled triangle

  • Maths(help me plz..! -

    You must mean:
    sides are x^2 - y^2 , x^2 + y^2 , and 2xy

    assume x^2+y^2 is the hypotenuse

    then
    (x^2-y^2)^2 + (2xy)^2 = (x^2+y^2)^2
    LS = x^4 - 2x^2y^2 + y^4 + 4x^2y^2
    = x^4 + 2x^2y^2 + y^4

    RS = x^4 + 2x^2y^2 + y^4
    = LS

    Q.E.D.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    The sides of a right angled triangle are x,x+1 and x+2.find x,Am not gettin the right answer. Being a right triangle, x^2 + (x + 1)^2 = (x + 2)^2. Expanding and simplifying, yields x^2 -- 2x - 3 = 0. Factoring or the quadratic equation …
  2. Geometry

    1. The sides of a triangle have lenghts x, x+4, and 20. Specify those values of x for which the triangle is acute with the longest side 20. 2. use the information to decide if triangle ABC is acute, right, or obtuse. AC=13, BC= sq. …
  3. Maths

    Reena draws a triangle with its sides are 3 cm and 5 cm. Is the triangle drawn by Reena a right angled triangle?
  4. maths-urgently needed

    In right angled triangle ABC angle B=90 degree and AB= root 34 unit. The coordinates of point B and Care (4,2)and (-1,y) respectively. If area of triangle ABC = 17 sq.units, then find value of y.
  5. math

    (please explain with brief explanation) The sides of an equilateral triangle are shortened by 12 units,13 units and 14 units respectively and a right angled triangle is formed.Find the side of the equilateral triangle.
  6. math plz check ;-;

    A triangle has sides of lengths 5 cm, 5 cm, and square root 47cm. Which of the following statements is true?
  7. math plz check ;-; sorry

    A triangle has sides of lengths 5 cm, 5 cm, and square root 47cm. Which of the following statements is true?
  8. math plz help ;-;

    A triangle has sides of lengths 5 cm, 5 cm, and square root 47cm. Which of the following statements is true?
  9. maths

    Calculate the area of the following triangles, giving your answers to 2 decimal places: (a) The right-angled triangle with sides a=16, b=63, and c=65. (b) The triangle with angle α = 40° and adjacent sides b=10 and c=20.
  10. maths

    triangleabcand triangle dcb are right angled at a and d respectively and ac=db.prove that triangle abc is comruent to traingle dcb

More Similar Questions