Question

What is the answer to this?

Answer 1

Answer:

y = 3, TU = 6

Step-by-step explanation:

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

$\frac{SV}{ST}$ = $\frac{VU}{TU}$ , substitute values

$\frac{24}{4y-2}$ = $\frac{14.4}{2y}$ ( 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