Question

Find the value of y.
a.
b.
c.
d

Answer 1

Look at the attached picture:

First we solve for the bigger triangle:

8 = 2x

x =
`(8)/(2)`

Smallest side: x = 4

Longest side: x
`√(3)` = 4
`√(3)`

Now for the smaller triangle:

Since the longest side in the smaller triangle is 4 = y
`√(3)` ,

then y =
`\frac{4√(3) } {3}`