Question

Given that the two triangles are similar find the unknowns length of the side labeled in

Answer 1

Answer:

The unknown length of the side labeled n is 10.5 units

Step-by-step explanation:

Given:

Two similar triangles with one unknown

To find:

the unknown length of the side labelled n

For two triangles to be similar, the ratio of their corresponding sides will equal

`\begin{gathered} side\text{ with 36 corresponds to side with 27} \\ side\text{ with 14 corresponds to side with n} \\ The\text{ ratio:} \\ (14)/(n)\text{ = }(36)/(27) \end{gathered}`

`\begin{gathered} crossmultiply: \\ 14(27)\text{ = 36\lparen n\rparen} \\ 36n\text{ = 378} \\ \\ divide\text{ both sides by n:} \\ (36n)/(36)\text{ = }(378)/(36) \\ n\text{ = 10.5} \end{gathered}`

The unknown length of the side labeled n is 10.5 units