# The triangles

The triangles KLM and ABC are given, which are similar to each other. Calculate the lengths of the remaining sides of the triangle KLM, if the lengths of the sides are a = 7 b = 5.6 c = 4.9 k = 5

Result

l =  4
m =  3.5

#### Solution:

$a=7 \ \\ b=5.6 \ \\ c=4.9 \ \\ \ \\ k=5 \ \\ \ \\ q=k/a=5/7 \doteq \dfrac{ 5 }{ 7 } \doteq 0.7143 \ \\ \ \\ l=b \cdot \ q=5.6 \cdot \ 0.7143=4$
$m=c \cdot \ q=4.9 \cdot \ 0.7143=\dfrac{ 7 }{ 2 }=3.5$

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