 
									
								
									Higher Tier Formulas
									
... Vertically opposite angles are equal Corresponding angles (F) formed in parallel lines are the same Alternate angles (Z) formed in parallel lines are the same Interior angles (C) formed in parallel lines add to 180 Circle Theorems Angle at centre twice one at circumference Angles subtended on the s ...
                        	... Vertically opposite angles are equal Corresponding angles (F) formed in parallel lines are the same Alternate angles (Z) formed in parallel lines are the same Interior angles (C) formed in parallel lines add to 180 Circle Theorems Angle at centre twice one at circumference Angles subtended on the s ...
									Mathematical Test
									
... 5) A triangle has sides of length 12, 5 and 13. a) Verify that it’s a right angle triangle. Which side is the hypotenuse? (Hint: Pythagoras’ Theorem a2 = b2 + c2) b) Calculate its area. ( Hint: Area of Triangle = ½ * base * perpendicular height) 6) The probability of an event = (number of ways event ...
                        	... 5) A triangle has sides of length 12, 5 and 13. a) Verify that it’s a right angle triangle. Which side is the hypotenuse? (Hint: Pythagoras’ Theorem a2 = b2 + c2) b) Calculate its area. ( Hint: Area of Triangle = ½ * base * perpendicular height) 6) The probability of an event = (number of ways event ...
Mathematics and architecture
 
                        Mathematics and architecture are related, since, as with other arts, architects use mathematics to shape and sometimes to decorate buildings.In ancient Greece, buildings were laid out with specific proportions. In Islamic architecture, geometric shapes and geometric tiling patterns are used. The pyramids of ancient Egypt have mathematical proportions. Hindu temples have a fractal-like structure where parts resemble the whole.In Renaissance architecture, symmetry and proportion were deliberately emphasized.In the twentieth century, styles such as modern architecture and Deconstructivism explored different geometries to achieve desired effects.
 
									 
									 
									 
									 
									 
									 
									![pythagoreantreasury[1]](http://s1.studyres.com/store/data/008460234_1-b0fb1826394697cba2511ff556bba420-300x300.png) 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									