in triangle ABC, the medians through B and c are perpendicular. then b square +c square is equal to A) 2a square B)3 a square C) 4 a square D) 5 A square
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multiply the amount that you have in the Polynesian country 87inches 37 to a quarter in t76
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Answer:
2a square
Step-by-step explanation:
b = AC
c = AB
a = BC
let say BM is media on AC
and CN is median on AB
AM =CM = AC/2
AN = BN = AB/2
as median are perpendicular
BC^2 = BM^2 + CM^2
BC^2 = CN^2 + BN^2
adding both
2BC^2 = BM^2 + CM^2 + CN^2 + BN^2
2BC^2 = BM^2 + (AC/2)^2 + CN^2 + (AB/2)^2
2BC^2 = BM^2 + (AM)^2 + CN^2 + (AN)^2
2BC^2 = AB^2 + AC^2
2a^2 = c^2 + b^2
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