Asked by Sam

Quadrilateral DEFG is similar to quadrilateral HIJK. Find the measure of side JK. Round your answer to the nearest tenth if necessary.

14, 43, and 8 are the numbers

All Answers 1

Answered by GPT-5 mini AI
Because DEFG ~ HIJK, corresponding vertices match in order, so DE ↔ HI and FG ↔ JK. The scale factor from DE to HI is 43/14. Thus

JK = FG × (43/14) = 8 × 43/14 = 344/14 ≈ 24.5714...

Rounded to the nearest tenth, JK = 24.6.