We have been given angle A as 75 degrees and sides a = 2 and b = 3.
Using Sine rule, we can set up:
Upon substituting the given values of angle A, and sides a and b, we get:
Upon solving this equation for B, we get:
Since we know that value of Sine cannot be more than 1. Hence there are no values possible for B.
Hence, the triangle is not possible. Therefore, first choice is correct.
Answer:
c = 12
Step-by-step explanation:
3(c - 4) = 4(c - 6)
Use the distributive property on each side.
3c - 12 = 4c - 24
Now you need the terms with c on the left side and the numbers on the right side. Subtract 4c from both sides. Add 12 to both sides.
3c - 4c - 12 + 12 = 4c - 4c - 24 + 12
Combine like terms on each side.
-c = -12
Multiply both sides by -1.
c = 12
Answer:
The triangle is 50,50 80
Step-by-step explanation:
The three angles of a triangle equal 180 degrees
We only want one 80 degree angle. That means the other two angles have to be the same, since it is an isosceles triangle. Call the other angle x
x+x+80 = 180
2x+80 =180
Subtract 80 from each side
2x+80-80=180-80
2x =100
Divide by 2
2x/2=100/2
x = 50
Each of the other angles in the triangle would have to equal 50 degrees
The triangle is 50,50 80
Angles of a triangle add up to 180 degrees and then we take away the right angle
180-90=90
5x+5x=10x
90/10=9
x=9
