This is a short and simple kind of presentation prepared on the basis of application of triangles over daily life.
I hope it may become useful to you.
Size: 1 MB
Language: en
Added: Apr 07, 2020
Slides: 12 pages
Slide Content
Triangle : What is a Triangle, different types of triangle used in monumentries, shapes of triangle depending on angles. Use of Triangle in Daily Life Student Maharana Sarkar Avinash Maurya Teache r Saloniba Rathod
01 Background and History 02 Basic Facts 03 Applications of Triangle 04 Summary CONTENTS
Background and History No proof of how it came into existence. Ancient symbol. Used over centuries. Mythic shape makes work effortless.
1. 1 Basic definitions of Triangle T wo sides are of equal length. A lso has two congruent angles . I sosceles T riangle A ll sides are of equal length. A lso an equiangular polygon . all its internal angles are equal—namely, 60° . Equilateral Triangle A ll sides have different lengths. I nternal angles are all different. S calene T riangle 3 Points In Euclidean geometry any three non-collinear points determine a triangle and a unique plane, that is, two-dimensional Cartesian space.
Basic Facts T wo-dimensional plane figures . Addition of interior angles is 1800. Exterior angle is equal to the sum of the two interior angles that are not adjacent to it. Sum of the three exterior angles of any triangle is 360 ° .
2.1 Basics Facts related similarity and congruency. A B C If every angle = angle of other Δ. corresponding sides of similar Δ have lengths that are in the same proportion. Similarity Congruency Two Δs having same size and shape. All pairs of corresponding interior angles are equal. Same length of sides. S ide A ngle S ide A ngle S ide A ngle S ide S ide S ide A ngle A ngle S ide
A pplication s of Triangle in Daily Life Sign boards. Bridges. Packed foods like Doritos. Staircases. Sails of Boat. Triangular Rubicks Puzzle. Pyramids. Bicycles.
Some other applications of Triangle Triangle shaped pastries. Cheese being cut in triangular shape. Blades of ceiling fan Triangular shaped. Some of the buildings are being constructed in Triangle shape.
3.1 Elaboration why triangulation is used in daily life The shapes help surveyors use triangulation to determine the distance of a specific point from two other points of a known distance apart. Triangulation may be used to measure distances around corners and when digging tunnels, and carpenters use a right-angled triangle to take measurements. Right-angled triangles are used alongside trigonometry to solve real-world distance problems, such as the distance a ladder of a known length can go up against a wall, if the angle the ladder makes with the ground is also known. The concept also helps determine the flight path (the distance traveled from the original point and bearing) of a plane that flies at a known speed for some hours, turns at a known angle at the same speed and continues to fly for a known number of hours. A sandwich may be shaped like a triangle. A staircase makes a right-angled triangle, with its length being the hypotenuse. Also, a right-angled triangle forms when one stands at the top of tower, observes an oncoming ship and attempts to calculate the distance between the ship and the bottom of the tower or the angle of elevation from the top.
Conclusion Triangle is formed by using three points. It can be equilateral, isosceles, scalene depending on angular measurements. Trignometry has helped in many circumstances it is also because trignometry is originated from triangle. Although triangle is essential in daily life, it comes into a major role when making things effortless. This is not just a shape it is a part of our life. When you will observe things carefully you will notice that every thing having corners is actually forming a triangle. Triangle name itself define its character, shape made by using three angles. Having triangle in life it made easier things.