If we take an equilateral (and equiangular) triangle

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Presentation transcript:

If we take an equilateral (and equiangular) triangle 60 and split it into two triangles, what are the dimensions? 2 2 60 60 2

If we take an equilateral (and equiangular) triangle Recall last chapter when we proved that we could bisect an isosceles triangle into two congruent right triangles and split it into two triangles, what are the dimensions? 30 30 2 2 What would the height of the triangle be? h 60 60 1 1 Using the Pythagorean Theorem

The 30-60-90 Triangle Theorem (pg 370) states what you see below

x x Using the Pythagorean Theorem So the hypotenuse here would be This is the 45-45-90 Triangle Theorem (pg 368) x

Find the missing sides