Triangle side length if I know the value of an angle?

Question

How do I know some particular side length if I know the value of each of the three angles in a triangle?

Answer 1

should be able to figure it out with ratios (law of sines)
you need to know 1 side length (or perimeter or area) to get a real number answer, but you can do it theoretically using ratios in the law of sines.

Answer 2

Again, your question needs more details. First, this is a 30-60-90 triangle. It has an alternative rule that each angle reflects a ratio of measurement and length For instance, 30- x= the length of the opposited 30 degrees angle 60- (square root of 3)x= the length of oppositing to 60 degrees angle 90- 2x= length of the oppositing to 90 degrees angle Apply this rule of triangle to your problem.. just need to figure out which side that 5 inches belong to.

Answer 3

You don't.

You must know the length of a least one side to find the length of any other. Otherwise even though the angles are known and fixed, the entire triangle could be scaled larger and smaller.

Imagine looking at this triangle through a camcorder. As you zoom in and out, the lengths of the sides appear to change, however the angles will not change.

Answer 4

Only if you know the angles and at least one side or the area of the triangle. If you know the area, the sides are fixed since the angles are fixed.

Answer 5

The angles would remain the same if the triangle was doubled or halved in size.

You need to know one angle and one length at least.

Answer 6

you can't because to work out a length you need to have either 2 lengths and an angle or 1 length and 2 angles. sori mate, but you can't do it if you have 3 angles

Answer 7

use law of sines
A/sin(a) =B/sin(b)
but you must know at least 1 side length.