Suppose a triangle has two sides of length 42 and 35, and that the angle between these two sides is 120. Which equation should you solve to find the
length of the third side of the triangle?

9514 1404 393

  c = √(42² +35² -2·42·35·cos(120°))

Step-by-step explanation:

The third side can be found using the Law of Cosines. It will tell you ...

  c² = a² +b² -2ab·cos(C)

where C is the angle opposite the third side (c). For the given side lengths, then the third side can be found from ...

  c = √(42² +35² -2·42·35·cos(120°))

__

Additional comment

You have not provided answer choices to this "which ..." problem. So the above equation may be different from any on your list. We expect your answer choices may leave the equation in the form c² =

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

dc=6 square root of 3 and ac is 12 square root 3

c and d

step-by-step explanation:

square root of 3/2 = 18/c

cross multiply to get 18*2=√3*c

36/√3 * √3/√3 = c

c= 36*√3/3

c=12√3