Question

Geometry help! Find part B

Answer 1

Answer: It looks like Part B is about 4 times that of part A.

Step-by-step explanation: I think the answer would be 12.

A would be 3. B would be 12.

I'm terribly sorry if it is wrong.

Answer 2

45/4

Explanation:

Notice that side
`b` is a leg ot the triangle at the right side, the hypothenuse is
`z` and the other leg is
`y`.

We know by given that
`a+b=15`, where
`a+b` is the hypothenuse of the bigger right triangle, and
`z` and
`x` are the legs. Using trigonometric reasons, we have

`cos(30\°)=(z)/(15)`

But,
`cos(30\°)=(√(3) )/(2)`

Then,

`(√(3) )/(2) =(z)/(15)\\ z=(15√(3) )/(2)`

Then, in the triangle at the right side

`cos(30\°)=(b)/((15√(3) )/(2) ) \\(√(3) )/(2) =(b)/((15√(3) )/(2) ) \\(√(3) )/(2)=(2b)/(15√(3) ) \\15√(3) √(3) =4b\\4b=15* 3\\b=(45)/(4)`

Therefore, the answer is 45/4.