Midpoints

Triangle ABC with sides a = 5 cm, b = 3 cm, c = 40mm has a midpoint of K, L, M. How many centimeters is long perimeter of parallelogram KBLM?

Result

x =  9 cm

Solution:

a=5 b=3 c=40/10=4 a2=b2+c2 x=a/2+c/2+a/2+c/2=5/2+4/2+5/2+4/2=9 cma=5 \ \\ b=3 \ \\ c=40/10=4 \ \\ a^2=b^2+c^2 \ \\ x=a/2+c/2+a/2+c/2=5/2+4/2+5/2+4/2=9 \ \text{cm}

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