Golden Triangle

To identify a Special Right Triangle. The angle measure must be known first. If the given angle measure is 45°-45°-90° Special Right Triangle. Also if the given angle measure is a 30° or a 60°. Then the triangle is a 30°-60-°-90° Special Right Triangle In a 45°-45°-90° triangle. There are two legs and a hypotenuse. The hypotenuse is opposite the 90° angle. The legs are opposite the 45° angles. Since the two legs are of equal length. When given the length of one. The other leg always have

As a mathematician, he is most notable for his work on the classification and solution of cubic equations, where he provided geometric solutions by the intersection of conics.[5][6] As an astronomer, he composed a calendar which proved to be a more accurate computation of time than that proposed five centuries later by Pope Gregory XIII.[7]:659[8] Omar was born in Nishapur, in northeastern Iran. He spent most of his life near the court of the Karakhanid and Seljuq rulers in the period which witnessed

“the number of dots in an equilateral triangle uniformly filled with dots”. The sequence of triangular numbers are derived from all natural numbers and zero, if the following number is always added to the previous as shown below, a triangular number will always be the outcome: 1 = 1 2 + 1 = 3 3 + (2 + 1) = 6 4 + (1 + 2 + 3) = 10 5 + (1 + 2 + 3 + 4) = 15 Moreover, triangular numbers can be seen in other mathematical theories, such as Pascal’s triangle, as shown in the diagram

Group Reflection Report Activity Game II GSE101 Group 2 23/11/2017 1. What group decision-making process was being followed in order to achieve the end result? The following are the decision-making process that our group followed in order to achieve the end result. a) Identifying the Goal b) Identify alternatives c) Implementation of team decision The members started to brain storm individually when lecturer gave us 5 minutes. We were not allowed to discuss among the members before

Including using three non-collinear points, a unique plane can be determined several ways. A unique plane can be determined by two intersecting lines, a line and a point not on the line, and lastly, by two parallel lines. A unique line can be determined by two intersecting lines. This is stated by Theorem 3. There is a plane around every line and two intersecting lines connect, therefore they are in the same plane. In addition, it could be true that since each line contains at least two points

a2+b2=c2 is the famous theorem that Pythagoras discovered and named, calling it the Pythagorean Theorem. This theorem applies to the right triangle stating, that by adding the length of both legs squared you can then find the squared length of the hypotenuse. This theorem is set up in way that if you know two of the variables, whether it is a leg(b or a) and the hypotenuse (c) or both legs (a and b), you will always be able to find the third measurement. However, why does this theorem work? Why does

5 x 36 = 180 Jeremy has 5 strips & each is 36 in long so 5 x 36 = 180 The next thing we have to do is find the perimeter of the small triangle & that comes out to be 58 in. The rectangles are similar so.. perimeter of big rectangles equals scale factor times perimeter of small rectangle equals scale factor times 58 & it results with 4.5. the perimeter of the big rectangle is 261. so now all we do is use addition for the perimeters which is what gave you the total length & then use subtraction

The use of questioning and paired work in Mathematics Traditionally, mathematics and language-based subjects have been seen as occurring on opposite sides of a great divide. However, in recent years teachers have realised the importance of talk across the curriculum including mathematics. This is supported by the DfEE (1999a, p11) who state that ‘high quality interactive teaching is oral, interactive and lively. It is a two way process in which pupils are expected to play an interactive role by

Geometry has always appealed to me, perhaps because of the illustrations provided for every question or the way that it’s seemingly unsolvable, yet if you understand and recognise the properties of that figure, you would then be able to solve the question with no difficulties. Therefore, I find it is important to grasp the concept of every property which is why I choose to delve further into the Ptolemy’s Theorem. The Ptolemy’s Theorem provides a relationship between the four side lengths and the

approximations. A circle inscribed in a regular hexagon allowed us to “see” that 2√3> π by simplifying the inequality that the area of the right triangle CHG was greater than the area of the sector enclosed within triangle CHG. The reason why the area of triangle CHG was greater than the area of the sector was because in the diagram, it was noticeable that triangle CHG overlapped a greater amount of area than the sector. This was why a certain amount of “space” was observed within the enclosure of