Question

Quadrilateral GHIJ is similar to quadrilateral KLMN. find tye measure of side NK

Answer 1

NK = 59.11

Step-by-step explanation

If two figures are similar, then the ratio between corresponding sides must be constant. For these two figures, this means,

`(NK)/(GJ)=(LM)/(HI)=(NM)/(JI)=(GH)/(KL)`

We know that GJ = 14, LM = 38 and HI = 9,

`(NK)/(14)=(38)/(9)`

Multiply both sides by 14,

`NK=14\cdot(38)/(9)\approx59.11`

Rounded to the nearest hundredth, the measure of side NK is 59.11.