# If the angles of the triangle are in the ratio 3:4:5, then how do you find the ratio of the sides?

##### 1 Answer

Sep 23, 2015

#### Answer:

(Assuming I haven't messed up)

The ratio of the sides (to 4 significant digits) is

#1 : 1.225 : 1.366#

#### Explanation:

**Part 1**

For any triangle with sides

#(sin(A))/a = (sin(B))/b=(sin(C))/c#

or, by rearranging:

#b/a = (sin(B))/(sin(A))#

and

#céa=sin(C)/sin(A)#

**Part 2**

If

since

#/_A = (3pi)/12 = pi/4#

#/_B=(4pi)/12= pi/3#

#/_C= (5pi)/12#

**Part 3**

(and using my calculator):