Question

Analyze the diagram below and complete the instructions that follow

Find a, b and c

. a= 12, b= 6(square root) 3, c= 3 (square root) 6

a= 12, b=12 (square root) 2, c= 3 (square root) 6

a= 6 (square root) 3, b= 12, c= 6 (square root) 2

a= 6 (square root) 3, b= 12 (square root) 3, c= 6 (square root) 2

Answer 1

9

Explanation:

Answer 2

b=12 , a=6
`6 √(3)` , c=6
`√(2)`

Explanation:

based on the graph you are showing, you can use "SOH CAH TOA"

for right triangles, then you use "CAH" for get b:

`Cos(60)=(6)/(b)\\b*Cos(60)=6\\b*(1)/(2)=6\\ b=6*2\\b=12\\\\`

you do the same for a, but in this case you use sin, not cos:

`sin(60)=(a)/(b) \\b*sin(60)=a\\\\12*√(3)/2=a\\ 6√(3)=a\\`

and with your b value, you can get c, but now you use Cos with the 45 angle:

`b*cos(45)=c\\12*√(2)/2=c\\ 6√(2)=c`

remember SOH CAH TOA means, Sin(x)=opposite/Hypotenuse, Cos(x)=adjacent/hypotenuse, and tan(x)=Opposite/adjacent.