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.
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
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3 answers
that isnt right
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.
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.