Geometry-How-can-you-compute-the-length-of-the-sides-of-a-triangle-given-the-area-and-three-angles-in-the-law-of-Tangent-

Question Number 134637 by bobhans last updated on 06/Mar/21

G eometry

How can you compute the length of the sides of a triangle given the area and three angles in the law of Tangent?

Answered by benjo_mathlover last updated on 06/Mar/21

Height = h = \sqrt{\frac{2 \tan β . Area}{\tan α (\tan α + \tan β)}}

Base = b = h . \tan α (\frac{\tan β + \tan α}{\tan β})

The side above α = \frac{h}{\sin α}

The side above β = \frac{h}{\sin β}

Commented by benjo_mathlover last updated on 06/Mar/21