Question

Find C:

12√2

24

12

144

Answer 1

Hello from MrBillDoesMath!

Answer:

12 sqrt(2)

Discussion:

Since we have a right triangle,

cos(45) = side adjacent/ hypotenuse

= 12/ c

As cos(45) = sqrt(2)/2 the above equation becomes

sqrt(2)/2 = 12/c => multiple each side by "c"

c sqrt(2)/2 = 12/c * c =>

c sqrt(2)/2 = 12 => divide both sides by sqrt(2)/2

c = 12/ (sqrt(2)/2) =>

c = 12 *2 / sqrt(2) => as 2/sqrt(2) = sqrt(2)

c = 12 sqrt(2)

which is the first answer provided.

Thank you,

MrB