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2. Special right triangle - Wikipedia

   en.wikipedia.org/wiki/Special_right_triangle

   The 30°–60°–90° triangle is the only right triangle whose angles are in an arithmetic progression. The proof of this fact is simple and follows on from the fact that if α, α + δ, α + 2δ are the angles in the progression then the sum of the angles 3α + 3δ = 180°. After dividing by 3, the angle α + δ must be 60°. The right angle ...

3. Free body diagram - Wikipedia

   en.wikipedia.org/wiki/Free_body_diagram

   Then the vector value of the resultant force would be determined by the missing edge of the polygon. [2] In the diagram, the forces P 1 to P 6 are applied to the point O. The polygon is constructed starting with P 1 and P 2 using the parallelogram of forces (vertex a). The process is repeated (adding P 3 yields the vertex b, etc.). The ...

4. Triangle - Wikipedia

   en.wikipedia.org/wiki/Triangle

   The measure of an exterior angle of a triangle is equal to the sum of the measures of the two interior angles that are not adjacent to it; this is the exterior angle theorem. [34] The sum of the measures of the three exterior angles (one for each vertex) of any triangle is 360 degrees, and indeed, this is true for any convex polygon, no matter ...

5. Solution of triangles - Wikipedia

   en.wikipedia.org/wiki/Solution_of_triangles

   Since no triangle can have two obtuse angles, γ is an acute angle and the solution γ = arcsin D is unique. If b < c, the angle γ may be acute: γ = arcsin D or obtuse: γ ′ = 180° − γ. The figure on right shows the point C, the side b and the angle γ as the first solution, and the point C ′, side b ′ and the angle γ ′ as the ...

6. Intersecting chords theorem - Wikipedia

   en.wikipedia.org/wiki/Intersecting_chords_theorem

   In Euclidean geometry, the intersecting chords theorem, or just the chord theorem, is a statement that describes a relation of the four line segments created by two intersecting chords within a circle.

7. The best gifts to buy your grandkids — from babies to big ...

   www.aol.com/lifestyle/the-best-gifts-to-buy-your...

   Though they've been out for four years, these consoles still have some of the best games on the market, like Call of Duty Black Ops 6. $500 at Amazon. Microsoft Xbox Wireless Controller.