Which of the following possibilities will form a triangle?
1 answer:
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Answer:
x = 3.86
a = 5.86
Step-by-step explanation:
From the triangles attached,
By applying cosine rule in triangle 1,
cos(50)° =
cos(50)° =
x = 6cos(50)°
x = 3.86
Now we apply sine rule in the second triangle,
sin(23)° =
sin(23)° =
a = 15sin(23)°
a = 5.86
Focus on triangles DFC and DFE:
- They are both right triangles because DF is perpendicular to EC
- DC=DE
- DF is a common side
So, the two triangles are congruent. It follows that CF=FE, and in particular
And since x=3, the length of EF is