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BASIC GEOMETRIC FORMULAS AND PROPERTIES

1 Two sides of a triangle are 7 and ind the third side If a square has an area of 49 ft2, what is the length of one of its sides? The perimeter? how long must its length be of a oright triangle is 70 , what are the other 2 angles? What is the diameter of a circle with an area of 16 13 centimeters The perimeter is 27 centimeters F 2



37 Basic Geometric Shapes and Figures

A triangle is a closed figure composed exactly of three line segments called the sides The points of intersection of any two line segments is called a vertex Thus, a triangle has three vertices Aslo, a triangle has three inte-rior angles See Figure 37 4(a) Triangles may be classified according to their angles and sides If exactly one 2



FORMULAS FOR PERIMETER, AREA, SURFACE, VOLUME

Triangle Area = 1/2 of the base X the height A = bh Perimeter = a + b + c (add the length of the three sides) P = Trapezoid Area = 1/2 of the base X the height A = ()h Perimeter = add lengths of all sides a + b1 + b2 + c Circle Radius = the distance from the center to a point on the circle (r) Diameter = the distance between two



Math Handbook of Formulas, Processes and Tricks

52 Special Triangles (45⁰‐45⁰‐90⁰ Triangle, 30⁰‐60⁰‐90⁰ Triangle) 53 Trigonometric Functions and Special Angles 54 Trigonometric Function Values in Quadrants II, III, and IV 55 Graphs of Trigonometric Functions 56 Vectors 57 Operating with Vectors Version 3 2 Page 3 of 82 August 28, 2018



Relations métriques et angulaires dans le triangle

Dans un triangle non aplati, la longueur de chaque côté est inférieure à la somme des deux autres côtés Conséquence 1 3 Pour tous points A, Bet Cdu plan, si AC



Géométrie Formules

À propos du triangle : Dans un triangle rectangle : Théorème de Pythagore : Rapports trigonométriques : c Dans tous les triangles : Loi des sinus (trouver une mesure d’angle ou une mesure de côté): Loi des cosinus : Trouver une mesure de côté : Trouver une mesure d’angle Aire des triangles Noms des polygones de 3 à 12 côtés :



Geometrie - ETH Z

Figure 2 3: The Sierpinski triangle, a fractal De nition An isometry or rigid motion of Rn is a surjective function3 ˚: RnRn; x7˚(x); 3Surjective means that every point of Rn is hit by at least one point xunder ˚ Injective means that every point of Rn is hit by at most one point xunder ˚ Bijective means injective and surjective



Bashing Geometry with Complex Numbers - Evan Chen

This formula is often easier to apply if we shift zto the point 0 rst, then shift back afterwards 5 Examples Example 13 (MOP 2006) Let Hbe the orthocenter of triangle ABC Let D, E, F lie on the circumcircle of ABCsuch that ADkBEkCF Let S, T, U respectively denote the re ections of D, E, F across BC, CA, AB Prove that points S, T, U, H are

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