Archive for the ‘Topics in Geometry’ Category

Solutions to Isosceles Triangle Problems

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An isosceles triangle is a triangle with two sides equal in length just like the photo below.

Let the base angle of the isosceles triangle = 2r.
Let (line-AB) = c, (line-BC) = a, (line-AC) = b, Let (line-AD) = d
for isosceles triangle, c = a.
We are asked to solve for b.
S1 = (1/2)cdsin(r)
S2 = (1/2)bdsin(r)
Therefore
(S1/S2) = [...]

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