Question

Find the perimeter of AJKL. Round your answer to the nearest tenth if necessary.Figures are not necessarily drawn to scale.

Answer 1

To find the perimeter of triangle JKL:

1. Find the length of side JL.

Triangle JKL and triangle GHI are similar triangles: the ratio between corresponding sides in similar triangles is the same:

`\begin{gathered} (JL)/(GI)=(JK)/(GH)=(KL)/(HI) \\ \\ (JL)/(GI)=(JK)/(GH) \\ \\ JL=GI((JK)/(GH)) \\ \\ x=16((29)/(20)) \\ \\ x=23.2 \end{gathered}`

2. Sum the length of three sides of triangle JKL to find the perimeter:

`\begin{gathered} P=JL+JK+KL \\ \\ P=23.2+29+30.5 \\ \\ P=82.7 \end{gathered}`

Then, the perimeter of the triangle JKL is 82.7 units