Let the lengths of the altitudes drawn from the veritices of a triangle ABC to the opposite sides are 2,2 and 3 . if the area of △ A BC is Δ , then find the value of 2 2 Δ

Question

Let the lengths of the altitudes drawn from the veritices of a triangle ABC to the opposite sides are 2,2 and 3 . if the area of △ A BC is Δ , then find the value of 2 2 ​ Δ

TestHub · Accepted Answer

a 2Δ ​ = 2 , b 2Δ ​ = 2 , C 2Δ ​ = 3 ⇒ a = Δ , b = Δ , c = 3 2Δ ​ ∴ Δ 2 = ( 3 4Δ ​ ) ( 3 Δ ​ ) ( 3 Δ ​ ) ( 3 2Δ ​ ) ⇒ 8 Δ 2 = 81 ⇒ 2 2 ​ Δ = 9

Mathematics - Properties of Triangle Question with Solution | TestHub

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