Which of the following is not a true bi-conditional statement?
1 answer:
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Answer:
w = 12.79
x = 5.81
Step-by-step explanation:
First, solve for w:
Find the last angle of the triangle. The sum of all the angles in a triangle is
180 degrees.
A+90+52=180, this gives you angle A as 38. Use this to find w
The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.
Cos(B) = adj/hyp so Cos(B) = a/c rewrite as
c=10/Cos(B) or c = 10/0.61566147
c= 16.24
Now find the last side of the triangle using the Pythagorean theorem.
which gives you b or in this case w = 12.79
You then need w for the 2nd triangle as well as the angle 31 and the angle next to 52, which is 180-52 = 128. The other missing angle x to the triangle is 180-31-128 = 21
The law of sines is based on the proportionality of sides and angles in triangles. The law states that for the angles of a non-right triangle, each angle of the triangle has the same ratio of angle measure to sine value.
sin(x)/x=sin(B)/b=sin(C)/c
sin31/b=sin(128)/12.79 = 8.359 then
sin21/x = sin31/8.359
therefor x = 5.81