Question

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

Answer 1

ANSWER

NK = 59.11

EXPLANATION

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

$\frac{NK}{GJ}=\frac{LM}{HI}=\frac{NM}{JI}=\frac{GH}{KL}$

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

$\frac{NK}{14}=\frac{38}{9}$

Multiply both sides by 14,

$NK=14\cdot\frac{38}{9}\approx59.11$

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