What Is The Length Of RT?

Mathematics

1 answer:

Ulleksa [173]3 years ago

6 0

Answer:

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

$\frac{SR}{ST}$ = $\frac{RA}{TA}$ , substituting values

$\frac{7.5}{9}$ = $\frac{3.5}{x}$ ( 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

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