Question

Quadrilateral FGHI is similar to quadrilateral JKLM. Find the measure of side KL. Round your answer to the nearest tenth if necessary. Figures are not drawn to scale. F G H I J 9 19 34

Answer 1

To find the measure of side KL, we can set up a proportion using the corresponding sides of the similar quadrilaterals:

FG/ JK = HI/ LM

19/9 = 34/ KL

Cross multiplying, we get:

19KL = 306

Dividing by 19, we find:

KL = 16.1

Therefore, the measure of side KL is approximately 16.1.