The medians ad be and cf of a triangle abc are of lengths of 18cm 24cm 30 cm respectively. The area of the triangles is
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Answer:
288 cm².
Step-by-step explanation:
The area of triangle given 3 medians= 4/3√[Sₙ(Sₙ - X₁)(Sₙ - X₂)(Sₙ - X₃)]
where Sₙ = 1/2(X₁+X₂+X₃) and X₁, X₂ and X₃ are medians.
X₁ = 18 cm ; X₂ = 24 cm; X₃ = 30 cm.
Sₙ = 1/2(72) = 36.
Area = 4/3√36(36-18)(36-24)(36-30) = 288 cm².
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