Complete construction

Construct triangle ABC if hypotenuse c = 7 cm and angle ABC = 30 degrees. / Use Thales' theorem - circle /. Measure and write down the length of the legs.

Correct answer:

a =  6.1 cm
b =  3.5 cm

Step-by-step explanation:

$$\begin{gathered} c=7\text{cm} \\ \beta =30{}^{\circ } \\ 1.AB;|AB|=c=7\text{cm} \\ 2.\angle ABX;\sphericalangle \angle ABX=30{}^{\circ } \\ 3.S;S\in AB;|SA|=|SB|=c/2 \\ 4.k;k(S,r=c/2=3.5) \\ 5.C;C=k\cap BX \\ 6.\Delta ABC \\ a=6.0621778265=6.1\text{cm} \end{gathered}$$

Try calculation via our triangle calculator.

$b=3.5=3.5\text{cm}$

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