Equilateral 4301

Triangle ABC is equilateral with a side length of 8 cm. Points D, E, and F are the sides AB, BC, and AC midpoints. Calculate the area of ​​triangle DEF. In what ratio is the area of ​​triangle ABC to the area of ​​triangle DEF?

Correct answer:

S2 =  6.9282 cm2
k =  4

Step-by-step explanation:

a=8 a2=a/2=8/2=4 S1=3/4 a2=3/4 82=16 327.7128 S2=3/4 a22=3/4 42=4 3=6.9282 cm2
k=S1/S2=27.7128/6.9282=4



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