If the dimension of an rectangle's diagonal s are given...how to find the area of that rectangle???
2007-04-17 07:11:31 · 8 answers · asked by Rakesh M 1 in Science & Mathematics ➔ Mathematics
A diagonal is just a line segment, so if you mean "the length of the diagonals" then it's impossible to tell. Here's why.
Draw a circle. Draw the circle's diameter. Now pick any point on the circle and make a triangle with that point and the two end points of the diagonal. This will always be a right triangle (you can look up the proof for this on your own, but it's a fairly well-know theorem).
A right triangle is also what you get when you split a rectangle along the diagonal. The two diagonals are also always the same. Since you can move the point all along the semi-circle, you can get a variety of different rectangles that have the same diagonal. These triangles have different areas, so the rectangles must have different areas too.
Or if you want a more concrete example: a rectangle with sides of length 3 and 4, and a rectange with sides of length √(5/2) and √(5/2) will have the same diagonal length: 5.
2007-04-17 07:28:07 · answer #1 · answered by Anonymous · 0⤊ 0⤋
A rectangle is nothing more than two joined right angles. The Diagonal is the Hypoteneuse.
Here are some facts for finding the area of a right triangle from given knowns:
http://www.clarku.edu/~djoyce/trig/right.html
2007-04-17 07:19:22 · answer #2 · answered by Marvinator 7 · 0⤊ 1⤋
Mathematically, the definition of a square is a four sided two dimensional shape that has all sides equal and all of it's angles are right angles. If you're talking about the expression from the 70's and 80's, it means a person that doesn't fit in. There you go. I'm glad I could help. :)
2016-05-17 09:10:02 · answer #3 · answered by ? 3 · 0⤊ 0⤋
If you're given the diagonal's length and angle between them, you can solve it. You need length and 1 more value.
Nevertheless, with one diagonal, you can calculate the maximum possible area of the rectange. That would be when it's a square, and the value would be 1/2*diagonal^2.
2007-04-17 07:19:45 · answer #4 · answered by Dr D 7 · 0⤊ 1⤋
If we're just given the area of the diagonal, then this problem is impossible.
2007-04-17 07:17:25 · answer #5 · answered by Anthony T 3 · 0⤊ 0⤋
The short side is half the length of the diagonal. The long side is the length of the short side times the square root of 3. Multiply the length of the long side by the length of the short side.
2007-04-17 07:18:29 · answer #6 · answered by paladin 3 · 0⤊ 1⤋
Work backwards from slope to fine vertical and horizontal measurements
2007-04-17 08:07:43 · answer #7 · answered by weisse_rakete 2 · 0⤊ 0⤋
You need more information than one diaganol. You need one side for example.
2007-04-17 07:15:34 · answer #8 · answered by Scott H 3 · 0⤊ 1⤋