The document is a presentation on the golden ratio. It defines the golden ratio as an irrational number approximated to 1.618, often denoted by Greek letters tau or phi. It describes two quantities being in a golden ratio if the ratio between their sum and the larger quantity equals the ratio between the larger and smaller quantities. The golden ratio is used in architecture, painting, book design, nature, aesthetics, and perceptual studies. A golden triangle is an isosceles triangle where the smaller side is in golden ratio to the adjacent side, and they can be found in pentagrams and stellated polyhedra.

1. PPT ON GOLDEN RATIO
GROUP MEMBERS :-
*TANISH WAHIE
*HARSIMAR SINGH
*ARSHDEEP SINGH
*MADHAV GOEL

2. WHICH RATIO IS CALL GOLDEN
RATIO
Golden ratio, also known as the golden section, golden
mean, or divine proportion, in mathematics, the irrational
number (1 + √5)/2, often denoted by the Greek letters τ
or ϕ, and approximately equal to 1.618.

3. WHICH LETER IS USED TO
DENOTE GOLDEN RATIO.
Greek letters τ or ϕ is
used to denote golden
ratio.

4. WHEN DO WE SAY TWO
QUANTITES IN GOLDEN RATIO.
Two quantities are in the (state of the) golden ratio if the ratio
between the sum of those quantities and the larger one is the
same as the ratio between the larger one and the smaller
(one).” This may be a difficult concept to grasp, so let’s use a
picture.

5. WHAT IS THE APPROX
VALUE OF GOLDEN RATIO.
The approx. value of golden ratio is :-

6. WHERE DO WE USE
GOLDEN RATIO.
Golden ratio is used in the following :-
*Architecture
*Painting
*Book design
*Nature
*Aesthetics
*Perceptual studies

7. WHAT IS GOLDEN
TRIANGLE.
A golden triangle, also known as the sublime triangle, is an
isosceles triangle in which the smaller side is in golden ratio
with its adjacent side: Golden triangles are found in the nets of
several stellateing of dodecahedrons and icosahedrons.

8. NAME THE SEQUENCE IN
WHICH WE FIND GOLDEN
RATIO

9. WHERE DO WE FIND
GOLDEN TRIANGLES IN A
PENTAGRAM
The pentagram, also called the five-point star, pentacle, pent alpha, or pentangle, is
the star polygon .
It is a pagan religious symbol that is one of the oldest symbols on Earth and is known to
have been used as early as 4000 years B.C. It represents the "sacred feminine" or "divine
goddess" (Brown 2003, pp. 35-37). However, in modern American pop culture, it more
commonly represents devil worship. In the novel The Da Vinci Code, dying Louvre
museum curator Jacque Sauntered draws a pentagram on his abdomen with his own
blood as a clue to identify his murderer (Brown 2003, p. 35).

10. WHAT IS MEASURE OF THE
VERTEX ANGLE IN A
GOLDEN TRIANGLE.
If you mean the golden rectangle then each of its 4 interior
angles measures 90 degrees but if you mean an equilateral
triangle then each of its 3 interior angles measures 60
degrees.

11. WHAT IS THE RATIO OF ANGLES
OF A GOLDEN TRIANGLE.
Also, it is the shape of the triangles found in the points
of pentagrams. The vertex angle is equal to
Since the angles of a triangle sum to 180°, base angles are
therefore 72° each.[1] The golden triangle can also be found in
a decagon, or a ten-sided polygon, by connecting any two
adjacent vertices to the center. This will form a golden triangle.
This is because: 180(10-2)/2=144 degrees is the interior angle
and bisecting it through the vertex to the center, 144/2=72.
The golden triangle is also uniquely identified as the only
triangle to have its three angles in 2:2:1 proportion.