Mariya kaviya risshoni

Fun math facts: Math is everywhere! 1. Mount Everest weighs an estimated  357 trillion pounds .  2. In a classroom of 23 people, there’s a  50% chance two of them have the same birthday . In a room of 75 people, the probability increases to 99%. It’s called the  Birthday Problem, and here’s the solution! 3. A baseball diamond is a  perfect rhombus . A rhombus is a parallelogram with opposite equal acute angles, opposite equal obtuse angles and four equal sides. 4. If you’re planning a road trip, Texas is the place to be! Texas is the state with the most roads in the United States, with  679,917 total miles of lanes  to get lost on.  5. Forests cover  31%  of the world’s land surface.  6. In the United States,  58 million pounds of chocolate  are bought in the week before Valentine’s Day. 7. Squirrels can run at about  20 miles per hour . 8. Usain Bolt, one of the fastest runners alive, can sprint around  28 miles...

  DEFINITION OF A TRIANGLE A triangle is a  two-dimensional closed  polygon having  three sides  and the  sum of all three angles  as  180  degrees. TYPES OF TRIANGLES For the classification of triangles according to their angles, we measure each of its interior angles and the triangles can be classified by angles, as follows: Acute Angled Triangle:   An acute triangle has all interior angles acute (less than 90°) Right Angled Triangle :  A  right triangle has one right angle (equal to 90°) Obtuse Angled Triangle:   An  obtuse triangle has one obtuse angle (greater than 90°) Classification according to sides For classification of the triangles according to their sides, we measure the length of each side of the triangle and the triangles can be classified by their sides, as follows: Equilateral Triangle:  A triangle having all three sides of the same length is known as an equilateral triangle. Since...

  Geometry is an important part of mathematics that deals with different shapes and figures. Triangles are an important part of geometry and the mid-point theorem points towards mid points of the triangle. What is Mid-Point Theorem? This theorem states that”  The line segment joining mid-points of two sides of a   triangle is parallel to the third side of the   triangle and is half of it” Proof of Mid-Point Theorem A triangle ABC in which D is the mid-point of AB and E is the mid-point of AC. To Prove:  DE ∥ BC and DE = 1/2(BC) Construction Extend the line segment joining points D and E to F such that DE = EF and join CF. Proof In ∆AED and ∆CEF  DE = EF (construction) ∠1 = ∠2 (vertically opposite angles) AE = CE (E is the mid-point) △AED ≅ △CEF by SAS criteria Therefore,  ∠3 =∠4 (c.p.c.t) But these are alternate interior angles. So, AB ∥ CF AD = CF(c.p.c.t) But AD = DB (D is the mid-point) Therefore, BD = CF In BCFD BD∥ CF (as AB ∥ CF) BD = CF BCF...

  Geometry - Definition with Examples What is Geometry? Geometry is a branch of mathematics that studies the  sizes , shapes, positions  angles  and dimensions of things. Flat  shapes  like squares, circles, and triangles are a part of flat geometry and are called 2D shapes. These shapes have only  2 dimensions , the length and the width. Examples of 2D shapes in flat geometry     Solid objects are also known as 3D objects having the third dimension of  height  or depth. Examples of 3D shapes in solid geometry   Angle : The  vertex  of a shape where two edges meet form an angle. Different shapes in geometry have different angle measures. For example : A triangle is a 3 sided shape, and the measure of its 3 interior angles is 180˚ A square, rectangle or quadrilateral are 4 sided shapes, and the measure of their interior angles is 360˚ Other polygons like the pentagon, hexagon, heptagon, octagon have 5, 6, 7, 8 sides re...

  Trigonometry  (from Greek trigonon "triangle" + metron "measure") Want to learn Trigonometry? Here is a quick summary. Trigonometry  ... is all about  triangles. Trigonometry helps us find angles and distances, and is used a lot in science, engineering, video games, and more! Right-Angled Triangle The triangle of most interest is the  right-angled triangle . The right angle is shown by the little box in the corner: Another angle is often labeled  θ , and the three sides are then called: Adjacent : adjacent (next to) the angle  θ Opposite : opposite the angle  θ and the longest side is the  Hypotenuse   Why a Right-Angled Triangle? Why is this triangle so important? Imagine we can measure along and up but want to know the direct distance and angle: Trigonometry can find that missing angle and distance. Or maybe we have a distance and angle and need to "plot the dot" along and up: Questions like these are common in engineering, computer ...

  In   statistics , a   central tendency   (or   measure of central tendency ) is a central or typical value for a   probability distribution . [1] Colloquially, measures of central tendency are often called  averages .  The term  central tendency  dates from the late 1920s. [2] The most common measures of central tendency are the  arithmetic mean , the  median , and the  mode . A middle tendency can be calculated for either a finite set of values or for a theoretical distribution, such as the  normal distribution . Occasionally authors use central tendency to denote "the tendency of quantitative  data  to cluster around some central value." [2] [3] The central tendency of a distribution is typically contrasted with its  dispersion  or  variability ; dispersion and central tendency are the often characterized properties of distributions. Analysis may judge whether data has a strong or a weak c...