Unit 1 : Pythagoras, Trig ratios, Sine and Cosine rule and area od shapes Flashcards
Pythagoras theory
a^2 + b^2 = c^2
Tan
opposite/adjacent
Cos
adjacent/hypotenuse
Sin
opposite/hypotenuse
Sine rule
a/SinA = b/SinB = c/SinC
What is the sum of exterior angles of any triangle
The sum of 2 opposite interior angles
What is the sum of interior angles of any triangle
180°
Trapezium
has one pair of parallel sides
What is the sum of the interior angles of a parallelogram?
360°
Interior angles of a polygon
(n - 2) x 180
(n = the number of sides the polygon has)
The sum of the exterior angles of a polygon
360°
Area of a kite
1/2 (product of diagonals)
Area of trapezium
(sum of parallel sides) x height /2
Area of prism
Area of cross section x length
Volume of a cone
1/3 x π x r^2 x h
Curved surface area
π x r x l
(l = height of the slant)
Area of a pyramid
Area of base x height / 3
Volume of sphere
4/3 x π x r^3
Area of a non-right angles triangle
1/2 x ab SinC OR 1/2 x ac SinB OR 1/2 x bc SinA