2007-09-02 06:06:47 · 10 answers · asked by jd e 1 in Science & Mathematics ➔ Mathematics
You can`t.
The length of one side is required.
2007-09-06 03:42:28 · answer #1 · answered by Como 7 · 0⤊ 0⤋
There are lots of ways to approach this problem. Remember that the Pythagorean Theorem applies to right triangles. So
a^2 + b^2 = c^2 where c is the length of the hypotenuse and and a & b are lengths of the other 2 sides.
Also remember that if your 3 angles are A, B, & C, and if the 3 sides opposite these angles have lengths a, b, and c, then
a/ sin A = b/ sin B = c/ sin C
This rule applies to all triangles, not just right triangles.
HOWEVER, please note you need to know the length of at least one side for any of this to work.
2007-09-02 13:15:44 · answer #2 · answered by Scott H 3 · 0⤊ 0⤋
Sorry, you can't do it. There are an infinite number of right triangles that have the same angles as your right triangle. These triangles are said to be similar.
You must have additional data to solve the triangle sides. Minimum data required is length of any one side.
2007-09-02 13:23:31 · answer #3 · answered by ironduke8159 7 · 0⤊ 0⤋
How I can find the ratio of the length of each side of the triangle given only their measure angles?
2013-11-21 15:20:36 · answer #4 · answered by Julie 1 · 0⤊ 0⤋
First you must be given the length of one side of the triangle. Otherwise, there's absolutely NOTHING to tell you how large or small this triangle will be.
So let's assume that you ARE given the length of one side.
Since this is a RIGHT TRIANGLE, you don't need the Law of Sines.
Given one side in the triangle, the appropriate use of the sine, cosine, and/or tangent definitions (and/or their inverses) will give you the other sides.
Live long and prosper.
2007-09-02 13:16:40 · answer #5 · answered by Dr Spock 6 · 0⤊ 0⤋
You can't, unless you have the length of one of the sides. You have not met the "necessary conditions" for solving the problem. One side will give you the "sufficiency condition."
2007-09-02 13:17:44 · answer #6 · answered by Dr. H. 1 · 0⤊ 0⤋
Use the sine formula
Let a, b c be the angles in radians or degrees, and
A, B, C be the corresponding opposite sides
then
(sin a) / A = (sin b) / B = (sin c) / C
2007-09-02 13:25:33 · answer #7 · answered by vlee1225 6 · 0⤊ 0⤋
Then when you know one side, use the Law of Sines to solve for the other sides.
2007-09-02 13:12:26 · answer #8 · answered by Tom 6 · 1⤊ 0⤋
You cannot, you must know the length of at least one side.
2007-09-02 13:10:49 · answer #9 · answered by Gary H 6 · 3⤊ 1⤋
no cant do. you can have infinite sets that satisfy the angles. but if you want the smallest, then you can.
2007-09-02 13:50:40 · answer #10 · answered by Mugen is Strong 7 · 0⤊ 0⤋