 Questions
 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.
 👍
 👎
 👁
 ℹ️
 🚩
Answer this Question
Related Questions

math
In a regular hexagon, what is the ratio of the length of the shortest diagonal to the length of the longest diagonal? Express your answer as a common fraction in the simplest radical form.

precalculus
Express the edge length of a cube as a function of the cube's diagonal length d. Then express the surface area and volume of the cube as a function of the diagonal length.

PreALgreba
A kite flying in the air has a 12  ft line attached to it. Its line is pulled taut and casts a 10  ft shadow. Find the height of the kite. If necessary, round your answer to the nearest tenth.

Calculus
The altitude of a kite is graphed here (the yaxis is in increments of 10 feet; the taxis is in minutes). Over which intervals is the kite accelerating upward? paste.pics/1a51dc876019fc4dd47240a035d8f5bf Go to this website for the graph

solid mensuration
Find the area of a cyclic quadrilateral whose 2 sides measure 4 & 5 units, & whose diagonal coincides with a diameter of the circle. Suppose the radius of the circumscribing circle is 2 sq.root of 3 units. Please include solution. Thanks.

mathematics
A kite has a 6.00inch side and a 13.00inch side, and one of the diagonals is 15.00 inches long. Find the length of the other diagonal, to the nearest hundredth of an inch.

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 solutions

Math
A 20footlong footbridge has two diagonal supports that meet in the center of the bridge. Each support makes a 65∘ angle with a short vertical support. What is the length x of a diagonal support, to the nearest tenth of a foot?

mathematics
a kite with a string 150 feet long makes an angle 45 with the ground, assuming the string is straight ,how high is the kite?

Geometry
A parallelogram has sides measuring 7 and 9. Its shorter diagonal has a length of 8. Find the measure of the longer diagonal.
Still need help?
You can ask a new question or browse existing questions.