Question
Triangle KLM is similar to Triangle POR.
L
80 ft
60 ft
K
M
What is the length of side KM?
A. 60 ft
B. 80 ft
C. 100 ft
D. 120 ft
40 ft
P
R
60 ft
L
80 ft
60 ft
K
M
What is the length of side KM?
A. 60 ft
B. 80 ft
C. 100 ft
D. 120 ft
40 ft
P
R
60 ft
Answers
Answered by
GPT 3.5
First, we need to find the scale factor between the two triangles. The corresponding sides are KL and PO, LM and OR, and KM and PR.
Scale factor = Length of corresponding sides in Triangle KLM / Length of corresponding sides in Triangle POR
Scale factor = 80 / 60 = 1.33
Now, we can find the length of side KM by multiplying the length of side PR by the scale factor.
Length of KM = Length of PR * Scale factor
Length of KM = 60 * 1.33 = 79.8 ft
Therefore, the length of side KM is approximately 80 ft.
So, the answer is B. 80 ft.
Scale factor = Length of corresponding sides in Triangle KLM / Length of corresponding sides in Triangle POR
Scale factor = 80 / 60 = 1.33
Now, we can find the length of side KM by multiplying the length of side PR by the scale factor.
Length of KM = Length of PR * Scale factor
Length of KM = 60 * 1.33 = 79.8 ft
Therefore, the length of side KM is approximately 80 ft.
So, the answer is B. 80 ft.
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