Question

Quadrilateral GHIJ is similar to quadrilateral KLMN. Find the measure of side NK. Round your answer to the nearest tenth if necessary.
G
H
I
J
K
L
M
N
28
19.1
5
Answer
Attempt 1 out of 2

Submit Answer

Answer 1

that isnt right

Answer 2

To find the length of side NK, we can use the corresponding sides of similar triangles GHI and KLM.

Using the ratio of corresponding sides:

GK/GH = KL/HI

Substitute the given values:

NK/28 = 5/19.1

Cross multiply:

19.1 * NK = 5 * 28
19.1 * NK = 140
NK = 140 / 19.1
NK ≈ 7.33

Therefore, the measure of side NK is approximately 7.3.

Answer 3

I apologize for the mistake. Let's try solving it again using the correct corresponding sides of the similar quadrilaterals.

Given:
Side GH = 28
Side HI = 19.1
Side KJ = 5

We want to find side NK.

Since the quadrilaterals GHIJ and KLMN are similar, we can set up a proportion using the corresponding sides:

GH/HK = HI/KI

Substitute the given values:

28/5 = 19.1/NK

Solve for NK:

28 * NK = 5 * 19.1
28 * NK = 95.5
NK = 95.5 / 28
NK ≈ 3.41

Therefore, the measure of side NK is approximately 3.4.