# Geometry

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.

1. 👍 0
2. 👎 0
3. 👁 81

## Similar Questions

1. ### 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

asked by maya on May 11, 2014
2. ### Honors Geometry

The diagonals of a kite are 21 and 24 and the shorter diagonal bisects the longer. If the kite has exactly one right angle, what are the side lengths of the kite?

asked by Ben on February 21, 2018
3. ### geometry

The longer diagonal of a rhombus is 2 times as long as the shorter diagonal. Find the length of the shorter diagonal if the area is 24in squared.

asked by Mandy on March 24, 2010

Hi.-It's Margie and I have a Math Lab to do but I don't get this.If you can, please help.: Use the Pythagorean Theorem to find the diagonal of the new room. length=22 width=25 area=350 Is the area supposed to be 550 instead of

asked by [C]razy Baby.-[iloveyou] (Margie) on February 9, 2007
5. ### Algebra 2

A boy is flying a kite. The height of the kite is 1 1/2 times greater than the horizontal distance (x). The length of string that is out is 520 ft. Determine the height of the kite.

asked by Chelsea:) on April 26, 2012
6. ### 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

asked by robert on January 25, 2011
7. ### 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.

asked by Anonymous on June 21, 2010
8. ### Math

Karen is making a kite for her art class. To figure out the dimensions of her final kite, she studies a model of a kite shown below. She wants her kite to be similar to the model her teacher made. If the height of the right

asked by Anonymous on February 11, 2014
9. ### Math

1.Isoscles obtuse triangle TRI with vertex angle T. 2.Rhombus RHOM with acute

asked by ashely on April 18, 2011
10. ### Solid Mensuration

one diagonal of a cyclic quadrilateral coincides with a diameter of a circle whose area is 36pi cm^2. If the other diagonal which measures 8cm meets the first diagonal at right angles, find the area of quadrilateral. Show your

asked by Anonymous on April 30, 2016

More Similar Questions