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Help with angle bisectors

 

In triangle ABC, the angle bisector of angle BAC meets AC at D.  If angle BAC = 60, angle ABC = 60, and AD = 24, then find the area of triangle ABC.

 Apr 17, 2023
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Acute isosceles triangle.

Sides: a = 27.713   b = 27.713   c = 27.713

Area: T = 332.554 - area of the triangle ABC.
Perimeter: p = 83.138
Semi-perimeter: s = 41.569

Angle ∠ A =60° = 1.047 rad
Angle ∠ B =60° = 1.047 rad
Angle ∠ C =60° = 1.047 rad

Height: ha = 24
Height: hb = 24
Height: hc = 24

 Apr 17, 2023

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