Step-by-step explanation:

Answer:
4.891
its side b (opposite side of the 50 degree angle)
Step-by-step explanation:
side c = 6
angle A is 20 side a (opposite side) = 2.184
angle B is 50 side b (opposite side) = 4.891
angle C is 110 side c (opposite side) = 6
1.
get third angle
50 + 20 = 70
180 - 70 = 110
third angle C is 110
2.
get side a
sin A/a = sin C/c
a/c = sinA/sinC
a = c * sinA/sinC
a = 6 * (sin20/sin110)
get sin in degrees
a = 6 * (.342/.9397)
a = 2.184
Answer: 
Step-by-step explanation:
Given
CE=85

In
, using trigonometry

Answer:
90 degree angled lines
Step-by-step explanation:
In order to get the area of a triangle using sides, the formula that we are going to use is Heron's formula. This is after from "Hero of Alexandria".
So here is the step by step process:
First, we calculate for s (half of the triangles perimeter) s = a+b+c divided by 2.
s = 6 + 10 + 12 / 2
s =28/2
s = 14
Now that we have the s, we can now calculate for the area.
A = square root of s(s-a)(s-b)(s-c)
A= square root of 14 x 8 x 4 x 2
A= square root of 896
A = 29.93
The area of triangle DEF is 29.93 square feet or 30 square feet. Hope this answer helps.