Question

find measurement indicated.

Answer 1

When given a non-right triangle, two sides and one angle the easiest approach to use to find a missing side is the law of cosines

Answer 2

but i only have one angle if i had two it would be easier.

Answer 3

In this case we want "b" right?

Answer 4

well the law of cosines says:
\[b^2 = a^2 + c ^2 -2ac*\cos(B)\]

Answer 5

mine are labeled a little different but i promise it will still work.

Answer 6

The way I labeled it:
B = 17
a = 9
c = 14

Answer 7

just plug those in and solve for "b"

Answer 8

how is b 17?

Answer 9

B is the angle in that corner

Answer 10

that angle is 17 degrees

Answer 11

its labeled on the picture...

Answer 12

a is the angle 17.

Answer 13

oh gosh let me re do it with their lettering system

Answer 14

now use this formula:
\[a^2 = b^2 + c^2 - 2bc*\cos(A)\]

Answer 15

we are calling this length "a"

Answer 16

just solve for "a" and you are golden

Answer 17

@eyust707 a=24 right?

Answer 18

does that seem proportional???

Answer 19

a should be the smallest length

Answer 20

a^2 = 9^2 + 14^2 - 2 * 9 * 14 * cos (17)

Answer 21

first find everything on the right side of that equation

Answer 22

you literally can google that or type it directly into your calculator

Answer 23

i did.

Answer 24

https://www.google.com/search?q=+9^2+%2B+14^2+-+2+*+9+*+14+*+cos+%2817%29&ie=utf-8&oe=utf-8#q=9^2+%2B+14^2+-+2+*+9+*+14+*+cos+%2817degrees%29

Answer 25

make sure the angle is in degrees not radians

Answer 26

but thats what a^2 is equal to.. so take a sqrt and youre done

Answer 27

@eyust707 a=6.
you were right before i was using radians.