Triangle JKL is similar to triangle MNO. find the measure of side NO. Round your answer to the nearest tenth if necessary.

Question

asked Oct 11, 2023 125k views

1 Answer

Somebodysomewhere · Answer 1 · 2023-10-15T07:38:57+0000

Given Data

$\Delta JKL\cong\Delta MNO$

From the propery of the similar triangles,

Substituting the know values in the above equation,

$\begin{gathered} (KL)/(NO)=(JL)/(MO) \\ \Rightarrow(8)/(NO)=(11)/(49) \\ \Rightarrow NO=(8*49)/(11) \\ \Rightarrow NO=35.63 \end{gathered}$

Thus, the requried value of NO nearest to the tenth is 35.6.