Question

quadrilateral efgh is similar to quadrilateral ijkl. find the measure of side ij. round your answer to the nearest tenth if necessary. h g l k 10 f 7 49 j e i

Explanation:

Step1: Identify Corresponding Sides

Since quadrilaterals EFGH and IJKL are similar, their corresponding sides are proportional. Side EH (length 10) corresponds to side IL (length 49), and side EF (length 7) corresponds to side IJ (let's call its length \( x \)).

Step2: Set Up Proportion

The ratio of corresponding sides should be equal. So, \(\frac{EH}{IL} = \frac{EF}{IJ}\). Substituting the known values: \(\frac{10}{49} = \frac{7}{x}\).

Step3: Solve for \( x \)

Cross - multiply to get \( 10x = 49\times7 \). Calculate \( 49\times7 = 343 \). Then, \( x=\frac{343}{10}=34.3 \).

Answer:

34.3