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If the vertex angle is 36 degrees then the two base angles must be 72 degrees each.

An isosceles triangle can be thought of as being two conjoined right angled triangles.

So by halving the base we can work out the hypotenuse with the trigonometry ratio for the cosine.

cosine = adj/hyp and when rearranged hyp = adj/cosine

hyp = 11/cosine 72 degrees = 35.59674775

Perimeter = 35.59674775+35.59674775+22 = 93.1934955 cm

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Q: An isosceles triangle has a base of 22 cm and a vertex angle of 36 degrees. Find its perimeter?
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