Construction

Construction the triangle ABC, if you know: the size of the side AC is 6 cm, the size of the angle ACB is 60° and the distance of the center of gravity T from the vertex A is 4 cm. (Sketch, analysis, notation of construction, construction)

Correct result:

x =  0

Solution:

$$\begin{gathered} 1.AC=6\text{ cm } \\ 2.\mathrm{\angle }ACX;\mathrm{\angle }ACX=60^{\circ } \\ 3.k;k(A,r=3\cdot 4=12cm) \\ 4.S;S=k\cap CX \\ 5.B;B\in CX;\mathrm{\mid }BS\mathrm{\mid }=\mathrm{\mid }SC\mathrm{\mid } \\ x=6.\mathrm{\Delta }ABC=0 \end{gathered}$$

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