SOLUTION: In Triangle ABC, A= 42 degrees, B= 68 degrees, and c= 15. Find the length of a and b

Question 453480: In Triangle ABC, A= 42 degrees, B= 68 degrees, and c= 15. Find the length of a and b

Answer by pedjajov(51) (Show Source): You can put this solution on YOUR website!
If we draw a height h from vertex C it divides side c in point D into two pieces x=AD and y=BD
:
Also it forms two right triangles:
- triangle ADC with one leg being height other one being x and b for hypotenuse
- triangle BDC with one leg being height other one being y and a for hypotenuse
:
We have for x, y and c:
x+y=c -> x+y=15 -> x=15-y
:
In triangle ADC we have ->
In triangle BDC we have ->
:
Now we have ->
If we substitute x with x=15-y we have:

:
From here:

:
Knowing x we can find b=AC:

:
b=14.80
:
Knowing y we can find c=BC:

:
c=10.68
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