Question

. Use Law of Cosines to find the missing side c:

Answer 1

\( b^2 = a^2 + c^2 - 2ac\cos B \)

Answer 2

Where angle B is the angle that is opposite the missing side b.

Answer 3

so 23sqr+9sqr=bsqr???

Answer 4

Let's take it one step at a time...
what are your values for
a,c, and B?

Answer 5

no idea..

Answer 6

Look at the figure.
The angles of the triangle are called A, B, and C.
The opposite sides to those angles are called a, b, and c.

Answer 7

ok

Answer 8

Compare the drawing above with the figure you were given.
B = 89 degrees
a = 23
c = 9

Answer 9

ok

Answer 10

In the formula for the law of cosines above, notice the variables are b, a, c, and B.
You are given all of them except b, which you need to solve for.

Answer 11

ok

Answer 12

\( b^2 = a^2 + c^2 = 2ac \cos B\)

Now replace the variables with the known quantities:

\(b^2 = 23^2 + 9^2 - 2(23)(9) \cos 89^o \)

Answer 13

Using a calculator, you can evaluate the right side.

Answer 14

sooo

Answer 15

would it be 602

Answer 16

602.77

Answer 17

Good.
\(b^2 = 602.77\)
Now take the square root of 602.77 to find b.

Answer 18

363330.11816650934210078557254899

Answer 19

thts wat my calculator said

Answer 20

Square root and squaring are two different things.

Answer 21

ohhh ok

Answer 22

24 or 17

Answer 23

What kind of calculator do you have that shows you over 30 digits?

Answer 24

computer calculator ^~^

Answer 25

\(b= \sqrt{602.77} \)
\(b = 24.55 \)

Answer 26

alrighty thankyouuu

Answer 27

Ok, that makes sense. I was thinking that that was too many digits to carry in a pocket calculator.

Answer 28

wlcm

Answer 29

BTW, what happenend to the statement of the problem? Weren't we looking for b? Now it says to look for c.

Answer 30

o.o no idea