Let ABC and A B C 1 be two non congruent triangles with sides A B = 4 , A C = A C 1 = 2 2 and angle B = 3 0 0 , the absolute value of the difference between the area of these triangles is

Question

Let ABC and A B C 1 be two non congruent triangles with sides A B = 4 , A C = A C 1 = 2 2 ​ and angle B = 3 0 0 , the absolute value of the difference between the area of these triangles is

TestHub · Accepted Answer

A B c sin 3 0 ∘ b ​ A re a o f △ A BC − △ A B C ′ ​ = 4 , A C = A C ′ = 2 2 ​ , B = 3 0 ∘ = 4 , b = b ′ = 2 2 ​ , B = 3 0 ∘ = sin C c ​ ⇒ C = 4 5 ∘ = △ A C C ′ = 2 1 ​ A C ⋅ A C ′ = 2 1 ​ ( 2 2 ​ ) ⋅ ( 2 2 ​ ) = 4 ​

Mathematics - Properties of Triangle Question with Solution | TestHub

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