Answer:
B
Step-by-step explanation:
AS is an angle bisector, thus the ratio of the sides of the triangle is equal to the ratio of the corresponding parts of RT, that is
[tex]\frac{SR}{ST}[/tex] = [tex]\frac{RA}{TA}[/tex], substituting values
[tex]\frac{7.5}{9}[/tex] = [tex]\frac{3.5}{x}[/tex] ( cross- multiply )
7.5x = 31.5 ( divide both sides by 7.5 )
x = 4.2
Thus
RT = 3.5 + x = 3.5 + 4.2 = 7.7 → B
