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Geometry Ch 8 Fitch FMS
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Terms in this set (13)
8-1 Pythagorean Theorem
If a triangle is a right triangle, then the sum of the squares of the legs is equal to the square of the hypotenuse. a^2 + b^2 = c^2
8-1 Pythagorean Triple
A set of natural/counting numbers a, b, and c that satisfy the Pythagorean Theorem
8-1 Common Pythagorean Triples
3/4/5, 5/12/13, 7/24/25, 8/15/17
8-1 Converse of Pythagorean Theorem
If the sum of the squares of two sides of a triangle is equal to the square of the third side, then the triangle is right.
8-1 If c^2 > a^2 + b^2 then the triangle is
Obtuse
8-1 If c^2 < a^2 + b^2 then the triangle is
Acute
8-2 45-45-90 Triangle
Both legs are congruent. The length of the hypotenuse is √2 times the length of either leg.
8-2 30-60-90 Triangle
The length of the hypotenuse is 2 times the length of the short leg. The length of the long leg is √3 times the length of the short leg.
8-3 Sine (Sin)
opposite side / hypotenuse (SOH)
8-3 Cosine (Cos)
adjacent side/ hypotenuse (CAH)
8-3 Tangent (Tan)
opposite side / adjacent side (TOA)
8-4 Angle of Elevation
The angle between a horizontal line and the line of sight to an object above the horizontal line
8-4 Angle of Depression
The angle between a horizontal line and the line of sight to an object below the horizontal line
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