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We know the area of any triangle is equal to 0.5abSin(C). This means we need to find the length of side b and the angle C.First we can work out the angle C of the triangle as we know the angles in a trian...

1. Replace y with x + 3. x^2 + 2(x+3) = 9
   2) Expand the bracket, and subtract 9. x^2 + 2x - 3 = 0
   3) Factorise the quadratic(x - 1)(x + 3) = 0
   4) Therefore, x has 2 solutions. x = 1 and ...

The equation of a straight line takes the form of y=mx+c where m is the gradient of the line and c is the y-intercept (where the line crosses the y-axis). The best way to start this question is to draw a ...

1. use the cosine rule to get angle A; cos(A) = (b² + c² - a²)/2bc2) Use '1/2 x a b x sin(C)' to get the area of the triangleNote: the side 'a' is the one opposite angl...

(This question would appear on the calculator paper of GCSE Maths) The first step is to calculate the total area of the rectangular wall by multiplying the width and height of the wall: Area (recta...