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Geometry Level 2

What is the area of an isosceles triangle with two legs that measure $6\sqrt[4]{3}$ , and an angle of $120^\circ$ ?

1 solution

Rishabh Tiwari
Jun 19, 2016

Area of triangle :

$\Delta = \dfrac {1}{2} \color{#20A900}{ab} \color{#3D99F6}{\sin C}$

Substituting the given values we get :

$\Delta = \dfrac {1}{2} \cdot 36\sqrt {3} \cdot \dfrac {\sqrt{3}}{2}$

Evaluating you get,

$\Delta = \color{#3D99F6}{\boxed {27}}$