Quadrilateral EFGH is similar to quadrilateral IJKL. Find the measure of side KL. Round your answer to the nearest tenth if necessary.
E
F
G
H
I
J
K
L
13
6
43
To find the measure of side KL, we need to find the scale factor between the two similar quadrilaterals. The scale factor is the ratio of corresponding side lengths.
Let's find the ratios for each side:
EF / IJ = 13/6
FG / JK = 6/x (where x is the length of side KL)
GH / KL = 43/x
Since the two quadrilaterals are similar, the ratios should be equal:
13/6 = 6/x
13x = 36
x = 36 / 13
x ≈ 2.769
Therefore, the measure of side KL is approximately 2.8.