Question

Help on 2 questions on 45-45-90 and 30-60-90 triangles and for someone to check a few answers. giving fans and a metal-- pictures of question in reply~

Answer 1

@whpalmer4

Answer 2

1st one is 53 root 2

Answer 3

because its a 30 60 90 triangle, AG=97.
149-97=52 so BA=52
and since its a 45 45 90 triangle CA= 52 root 2

Answer 4

the second is 83 root 2

its hard to explain without drawing it, but this might help understand
http://www.regentsprep.org/Regents/math/algtrig/ATT2/Ltri30.htm

Answer 5

@nikato answer for the second one is not 83 root 2...that would imply that the base is also 83 root 2, and for that to be true, the angle would have to be 45 degrees, not 60.

Answer 6

Sin is opposite / hypotenuse, so

sin 60 degrees = x/166
166 * sin 60 degrees = x
166 * sqrt(3)/2 = x
83 sqrt (3) = x

Answer 7

Oops, yea. 83 root 3. Typo