geometry

posted by .

The diagonals of rhombus FGHJ intersect at point C. If side GH is equal to x + 9 and side JH is equal to 5x – 2, find x.

  • geometry -

    a rhombus is a a quad with 4 equal sides.
    So if you have followed the convention of naming the vertices in either a clockwise or couter-clockwise fashion, then both GH and JH are sides of the rhombus

    so 5x-2 = x+9
    4x = 11
    x = 11/4 = 2.75

    The fact that the diagonals intersect at C appears redundant information.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. geometry

    lengths of diagonals of a rhombus are 12 cm and 16 cm respectively. Find the length of the side of rhombus.
  2. geometry

    The perimeter of a triangle is equal to 12 inches. The length of the longest side is equal to the sum of the other two sides minus 2. If you add 2 to the shortest side, it will equal the longest side. Find the side lengths.
  3. Geometry-7th grade

    The diagonals of a rhombus ABCD intersect at point E. If the sides of BC is equal to x + 9 and side DC is equal to 5x-2, find x. How would I set this up-Please give me some direction
  4. geometry

    The diagonals of rhombus FGHJ intersect at point K. If side GH is equal to 3x - 10 and side JH is equal to 6x - 19, find x.
  5. geometry

    The measure of the side of rhombus GHIJ is equal to the measure of the side of square RSTU. Which statement about the two quadrilaterals must be true?
  6. geometry

    The measure of the side of rhombus GHIJ is equal to the measure of the side of square RSTU. Which statement about the two quadrilaterals must be true?
  7. math

    which of he following statements are true or false- 1]the diagonals of a parallelogram are equal 2]the diagonals of a rectangle are perpendicular 3] the diagonal of a rhombus are equal 4]every rhombus is a kite
  8. Geometry

    The point of intersection of the diagonals of a rectangle is 4 cm further away from the smaller side than from the larger side of the rectangle. The perimeter of the rectangle is equal to 56 cm. Find the lengths of the sides of the …
  9. Geometry

    In rhombus MPKN with an obtuse angle K the diagonals intersect each other at point E. The measure of one of the angles of a ∆PKE is equal 16°. Find the measures of all angles of ∆PKE and ΔPMN.
  10. geometry

    In rhombus MPKN with an obtuse angle K the diagonals intersect each other at point E. The measure of one of the angles of a ∆PKE is equal 16°. Find the measures of all angles of ∆PKE and ΔPMN.

More Similar Questions