# Resources tagged with: Golden ratio

### There are 7 results

Broad Topics >

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

##### Age 14 to 16 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.

##### Age 14 to 18 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.

##### Age 14 to 18 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.

##### Age 14 to 16 Challenge Level:

Explore the geometry of these dart and kite shapes!

##### Age 14 to 16

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.

##### Age 7 to 16

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

##### Age 11 to 16

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