Question

Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form.

Answer 1

Answer:

See below for answers and explanations

Step-by-step explanation:

1) y=9, therefore x=2y=2(9)=18

2) y=32/2=16, therefore x=y√3=16√3

Answer 2

Answer:

1) Let y,9√3,x in ratio of 1:2:3

Thereforr,let constant value be a

y=a

9√3=2a

x=3a

a=9√3/2

a=4.5√3

Therefore ,y =4.5√3

And x=13.5√3

2)

Let y,x,32 be in ratio of 1,2,3

Therefore,let constant value be B

Therefore ,3B=32

B=10.6

Therefore,

y=10.6

x=21.2