Question

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

Answer 1

x = 5, RT = 18

Explanation:

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