If D(–2, 3), E(4, –3) and F(4, 5) are the mid-points of the sides BC,CA and AB of Triangle ABC. Then the value of |AG|2+|BG|2−|CG|2 is _____ (when G is the centroid of Triangle)

Centeriod of triangle DEF = Centeriod of Triangle∴G=−2+4+43,3−3+53=2,53Original vertices of Triangle areA(10, –1); B(–2,11); C(–2, –5)

If D(–2, 3), E(4, –3) and F(4, 5) are the mid-points of the sides BC,CA and AB of Triangle ABC. Then the value of |AG|2+|BG|2−|CG|2 is _____ (when G is the centroid of Triangle)

Centeriod of triangle DEF = Centeriod of Triangle∴G=−2+4+43,3−3+53=2,53Original vertices of Triangle areA(10, –1); B(–2,11); C(–2, –5)

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If D(–2, 3), E(4, –3) and F(4, 5) are the mid-points of the sides BC,CA and AB of Triangle ABC. Then the value of $\sqrt{| A G |^{2} + | B G |^{2} - | C G |^{2}}$ is _____ (when G is the centroid of Triangle)

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Centeriod of triangle DEF = Centeriod of Triangle

$∴ G = [\frac{- 2 + 4 + 4}{3}, \frac{3 - 3 + 5}{3}] = [2, \frac{5}{3}]$

Original vertices of Triangle are

A(10, –1); B(–2,11); C(–2, –5)

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If D(–2, 3), E(4, –3) and F(4, 5) are the mid-points of the sides BC,CA and AB of Triangle ABC. Then the value of |AG|2+|BG|2−|CG|2 is _____ (when G is the centroid of Triangle)

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If D(–2, 3), E(4, –3) and F(4, 5) are the mid-points of the sides BC,CA and AB of Triangle ABC. Then the value of $\sqrt{| A G |^{2} + | B G |^{2} - | C G |^{2}}$ is _____ (when G is the centroid of Triangle)