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#### Resources tagged with Golden ratio similar to From All Corners:

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##### Other tags that relate to From All Corners
Ratio. Pythagoras' theorem. Golden ratio. Mixed trig ratios. Octagons. Similarity. Gradients. Scale factors. Area. Graphs.

### There are 7 results

Broad Topics > Fractions, Decimals, Percentages, Ratio and Proportion > Golden ratio

### Pent

##### Stage: 4 and 5 Challenge Level:

The diagram shows a regular pentagon with sides of unit length. Find all the angles in the diagram. Prove that the quadrilateral shown in red is a rhombus.

### Golden Thoughts

##### Stage: 4 Challenge Level:

Rectangle PQRS has X and Y on the edges. Triangles PQY, YRX and XSP have equal areas. Prove X and Y divide the sides of PQRS in the golden ratio.

### The Golden Ratio, Fibonacci Numbers and Continued Fractions.

##### Stage: 4

An iterative method for finding the value of the Golden Ratio with explanations of how this involves the ratios of Fibonacci numbers and continued fractions.

### Darts and Kites

##### Stage: 4 Challenge Level:

Explore the geometry of these dart and kite shapes!

### Leonardo of Pisa and the Golden Rectangle

##### Stage: 2, 3 and 4

Leonardo who?! Well, Leonardo is better known as Fibonacci and this article will tell you some of fascinating things about his famous sequence.

### Whirling Fibonacci Squares

##### Stage: 3 and 4

Draw whirling squares and see how Fibonacci sequences and golden rectangles are connected.

### Pentakite

##### Stage: 4 and 5 Challenge Level:

ABCDE is a regular pentagon of side length one unit. BC produced meets ED produced at F. Show that triangle CDF is congruent to triangle EDB. Find the length of BE.