Which of the following could be the ratio of the length of the longer leg of a 30-60-90 triangle to the length of its hypotenuse? check all that apply.
a. 2: 3 sqrt 3
b. sqrt 2: sqrt 3
c. sqrt 3: 2
d: 1: sqrt 2
e: 3: 1 sqrt 2
f: 2: 2 sqrt 2

the answer is 175.4379

step-by-step explanation:

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2

square root of 36/6 = 2.449489743

square root of 16/6 = 1.632993162

square root of 6 = 2.449489743

the answer is square root of 16/6 because the square root of 36/6 is the same answer as square root of 6 = 2.449489743