Question

What is the answer to this?

Answer 1

y = 3, TU = 6

Explanation:

SU is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides, that is

`(SV)/(ST)` =
`(VU)/(TU)` , substitute values

`(24)/(4y-2)` =
`(14.4)/(2y)` ( cross- multiply )

14.4(4y - 2) = 48y

57.6y - 28.8 = 48y ( subtract 48y from both sides )

9.6y - 28.8 = 0 ( add 28.8 to both sides )

9.6y = 28.8 ( divide both sides by 9.6 )

y = 3

Then

TU = 2y = 2 × 3 = 6