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ABC has ∠BCA = 2∠BAC. Side BC is extended through C to a point D so
that AC = CD. If AB = 3 and BC = 2, find AD.

 Jul 3, 2021
 #1
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By similar triangles, AD = 9/2.

 Jul 3, 2021
 #2
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ABC has ∠BCA = 2∠BAC. Side BC is extended through C to a point D so that AC = CD. If AB = 3 and BC = 2, find AD.

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AD = 3.75

 

Sides: a = 2   b = 2.5   c = 3

Area: T = 2.48
Perimeter: p = 7.5
Semiperimeter: s = 3.75

Angle ∠ A = α = 41.41° = 41°24'35″ = 0.723 rad
Angle ∠ B = β = 55.771° = 55°46'16″ = 0.973 rad
Angle ∠ C = γ = 82.819° = 82°49'9″ = 1.445 rad

 Jul 5, 2021

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