SOLUTION: Given an isosceles triangle with a height of 4 and a vertex angle of 14.25 degrees, I would like to know a formula to determine the length of the base. Thank you.

Question 380320: Given an isosceles triangle with a height of 4 and a vertex angle of 14.25 degrees, I would like to know a formula to determine the length of the base. Thank you.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
The height bisects the vertex angle and forms a right triangle with (1/2)base as one leg, the height as another leg and the hypotenuse is one of the congruent sides of the isoceles triangle.
.
Since you know the angle,

You can use the tangent of the angle to determine the base.

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