Geometry

posted by .

A kite has an area of 32. One diagonal is 4 times the other one. The endpoints of one of the diagonals (one of the vertices of the kite) is (3,6). Find other three possibilites for the other three vertices of the kite.

Can someone help me with this problem?


I can tell you what the two diagonals are, but there are more than three places to plot the other three vertices. They will depend upon which corner of the kite is at (3,6) and also depend upon where the two diagonals intersect.

Let a be the long diagonal's length and b be the short diagonal's length. The kite is symmetric about the long diagonal but not necessarily the short one. Then, no matter where the diagonals intersect (perpendicular to each other, for a kite), the area of the kite will be
32 = A = 2*(1/2) a (b/2)= ab/2 = 2 b^2.
Therefore b = 4 and a = 16.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. geometry

    a kite has diagonals 9.2 and 8 ft. what is the area of the kite
  2. geometry

    One side of a kite is 4 cm less than four times the length of another side. The perimeter of the kite is 59 cm. Find the lengths of the sides of the kite.
  3. geometry

    How to find the area of a KITE when the length of only one diagonal is given, with two pairs of congruent sides but with no length described
  4. Math

    Mr Shen wished to enter the orange kite competition with an innovative kite of his own desgin. He did tests that showed an irregular quadrilateral design was best. The longest side (A) was twice the length of the shortest side (C). …
  5. math

    I have to find the area of a kite. I am only given part of the longest diagonal (12 cm) and half of the other diagonal (9 cm). I know the formula is diagonal 1 times diagonal 2 times 1/2. I have the length for one diagonal which is …
  6. Geometry

    2.Given two segments with lengths x and y (x does not equal y), which three special parallelograms meet the three sets of given conditions?
  7. math

    A council consists of 10 members.four are NDC,three are NPP and three are from other parties.if a committee of three is to be selected,find the probabilities following: I.one of each party. II.Two NPP and one from other parties. III.one …
  8. math

    A council consists of 10 members.four are NDC,three are NPP and three are from other parties.if a committee of three is to be selected,find the probabilities following: I.one of each party. II.Two NPP and one from other parties. III.one …
  9. Maths

    The area of rhombus is 148.8 square cm.if one of its diagonal is 19.2 cm,find the length of the other diagonals.
  10. math

    A student is building a diamond-shaped kite in his science class. To construct the kite, the student has assembled four congruent right triangle pieces of fabric to form the diamond. The diagonals of the kite are perpendicular to one …

More Similar Questions