How to find side measurements of a triangle? Please Answer!!!?

Question

Let's say that there is a right triangle (A) with two other angles (B and C) measuring 30 and 60 degrees respectivley. How do you figure out the measurements of the SIDES of the triangle then???

Answer 1

you can apply sine rule to solve it u have three angles so put them one by one in sine rule to get ur sides

Answer 2

I agree with both sillyturtledad and Dittlit, but I sense that you might want more detail.

If the ONLY thing you know about the triangle are its three angles, you cannot figure out the lengths of its sides.
Why? Because large triangles and small triangles can both be 30-60-90 triangles.

Details.
In a triangle whose angles are 30, 60, and 90 degrees, the sides are in a ratio of 1 : √3 : 2.
What does this mean? If the smallest side has measure x, then:
|--: x * 1 (smallest side, opposite 30-degree angle B)
|--: x * √3 (middle side, opposite 60-degree angle C)
|--: x * 2 (hypotenuse, opposite right angle A)

By the way, √3 (root three) is approximately 1.732.
Another useful number to know is ½√3 (half root three): ~0.866

And while we're at it, let's doublecheck Pythagoras :-):
|--? (1)^2 + (√3)^2 ?=? (2)^2
Yes: 1 + 3 = 4

Answer 3

In a 30°-60°-90° triangle the sides are in the ratio 1:2:sqrt(3)

so, one side is double the other, and the hypotenuse is sqrt(3) times as big

Answer 4

If you don´t know one side you can´t because all triangles with angle of 30 ,60 and 90 degrees are similar but not equal

Answer 5

If you had even one side measurement then you could deduce the other sides using trigonometry.
As it is you have no way to determine the scale of the triangle that you are dealing with.

Answer 6

You can figure out the RATIO of certain sides using trigonometric functions (sin, cos, tan) but without being given at least ONE side, it's impossible.

Answer 7

you can visit Pharaohs and ask them you know they were genius in this