Medians and sides

Determine the size of a triangle KLM and the size of the medians in the triangle. K=(-5; -6), L=(7; -2), M=(5; 6).

Correct answer:

k =  8.2462
l =  15.6205
m =  12.6491
t1 =  13.6015
t2 =  7.2801
t3 =  10.7703

Step-by-step explanation:

x0=5 y0=6 x1=7 y1=2 x2=5 y2=6 k=(x2x1)2+(y2y1)2=(57)2+(6(2))2=2 17=8.2462
l=(x0x2)2+(y0y2)2=((5)5)2+((6)6)2=2 61=15.6205
m=(x0x1)2+(y0y1)2=((5)7)2+((6)(2))2=4 10=12.6491
a0=(x1+x2)/2=(7+5)/2=6 a1=(y1+y2)/2=((2)+6)/2=2 b0=(x0+x2)/2=((5)+5)/2=0 b1=(y0+y2)/2=((6)+6)/2=0 c0=(x0+x1)/2=((5)+7)/2=1 c1=(y0+y1)/2=((6)+(2))/2=4 t1=(x0a0)2+(y0a1)2=((5)6)2+((6)2)2=185=13.6015
t2=(x1b0)2+(y1b1)2=(70)2+((2)0)2=53=7.2801
t3=(x2c0)2+(y2c1)2=(51)2+(6(4))2=2 29=10.7703

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