Question

G is the centroid of A ABC; if area of ∆ABC is 12 sq.cm. then the area of ∆ABC is -
a) 24 sq.cm
b) 6 sq.cm
c) 36 sq.cm
d) none of them


please answer it quickly​

Answer 1

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G is the centroid of ΔABC and if area of ΔAGB is 12 sq. units then the area of ΔABC is -

a) 24 sq.cm

b) 6 sq.cm

c) 36 sq.cm

d) none of them

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Given:-

• area of AGB is 12 cm².

As we know if three medians AD, BE and CF of a ΔABC intersect one another at the point G (centroid) then,

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[ Image refers in attachment. ]

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$\rm \: Area \: of \: ΔABC = 3 × Δ AGB$

$\rm \implies \: Area \: of \: ΔABC = 3 × 12$

$\rm \implies \: Area \: of \: ΔABC = 36 \: {cm}^{2}$

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Option (c) is correct.