Question

an isoceles triangle has a base of length 2√3 m and sides of length 2 m.Determine the exact value of the apex angle, in radians

Answer 1

Start by dividing it into 2 right triangles with a line starting from the tip.

Answer 2

geometry or trig? @Sukhvir

Answer 3

trig

Answer 4

If you divide it into 2 right triangles, then you get a halved angle and a halved base. You can then get the angle via arcsin, then double the angle.

Answer 5

now use law of cosine...
\[(2\sqrt{3})^{2}=2^{2}+2^{2}-2(2)(2)\cos(\theta)\]