Question

Someone please explain this it’s confusing me.

Answer 1

Answer:

x = 4 radical 3 / 3

Step-by-step explanation:

this is a 30-60-90 triangle

the side across from the angle 30 is L

the side across from the angle 60 is L√3

the side across from the angle 90 is 2L

we are given the side across from 60⁰ so we know that:

2 = L√3

we want to solve for L, so we must divide both sides by √3 (radical three)

2/√3 = L√3/√3

you would get 2/ √3 = L, because the radical three cancels out on the L side.

but you can't have a radical in the denominator, so you have to multiply 2/√3 by radical 3

2 times √3 and √3 times √3

you get 2√3/√9

radical nine can simplify

2radical3/3 or 2√3/3

we found L, but that would equal the thirty degree angle, not the 90, 90 = 2L

multiply the number infront of the radical by two and get

4√3/3

x=4 radical 3 divided by 3