Geometry Special Right Triangles, sin(90), cos(90),tan(90) Incenter vs Centroid FA: BB- Ms. Johnson 2017/2018.

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Presentation transcript:

Geometry Special Right Triangles, sin(90), cos(90),tan(90) Incenter vs Centroid FA: BB- Ms. Johnson 2017/2018

Special Right Triangles 45-45-90

Special Right Triangles 30-60-90

Sine Cosine and Tangent of 90 degrees Sine (sin) 90 = 1 Cosine (cos) 90 = 0 Tangent (tan) 90 = undefined

SohCahToa Sine (sin) Soh —> sin = opp/hyp Cosine (cos) Cah —> cos = adj/hyp Tangent (tan) Toa —> tan = opp/adj

The Hinge Theorem

The Hinge Theorem

Concurrency of Medians of a Triangle Median of a Triangle A median of a triangle is a segment from a vertex to the midpoint of the opposite side. Each median divides the triangle into two triangles of equal area. Theorem 5.8 Concurrency of Medians of a Triangle The medians of a triangle intersect at a point that is 2/3 of the distance from each vertex to the midpoint of the opposite side.

Incenter The center of a triangle's "incircle" ... it is where the "angle bisectors" (lines that split each corner's angle in half) meet.