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Triangle FGH is similar to triangle IJK. Find the measure of side KI. Round your
answer to the nearest tenth if necessary.
43
8
H Η
G
K
J
31
F

Triangle FGH is similar to triangle IJK Find the measure of side KI Round your answer to the nearest tenth if necessary 43 8 H Η G K J 31 F class=

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Answer:

[tex]5.8[/tex]

Step-by-step explanation:

Similar shapes also maintain a constant proportion of sides. Therefore, we can set up the following equation:

[tex]\frac{31}{43}=\frac{\text{KI}}{8}[/tex]

Solving, we get:

[tex]\text{KI}=\frac{8\cdot 31}{43}\approx \boxed{5.8}[/tex]

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