Question

Find the value of x and then find the length of RT RT = X=

Answer 1

Answer:

x = 5, RT = 18

Step-by-step explanation:

$\triangle MNL \sim \triangle SRT... (given) \\\therefore \frac{MN}{SR} = \frac{NL}{RT}.. (c.s.s.t)\\ \\ \therefore \frac{84}{24} = \frac{63}{3x+3}\\ \\ \therefore \frac{7}{2} = \frac{63}{3x+3}\\ \\ \therefore 3x+3 = \frac{63\times 2}{7}\\ \\ \therefore 3x + 3 = 9\times 2\\\therefore 3x + 3 = 18\\\therefore 3x = 18 - 3\\\therefore 3x=15\\\therefore x = \frac{15}{3}\\\huge \red {\boxed {\therefore x = 5}} \\ \\ \because RT = 3x + 3\\\therefore RT = 3\times 5+ 3\\\therefore RT = 15+ 3\\\huge \orange {\boxed {\therefore RT = 18}}$