ABC is a triangle with sides of length AB, 12m and BC,14m. Angle ACB = 43 degrees. Find the area of the triangle.
Use of the Sine Rule to ultimately work out the area of a triangleA/SinA = B/SinB14/Sin43 = 12/SinX14SinX = 12Sin43SinX = 12Sin43/14X=InverseSin(12Sin43/14) = 35.77-There are 180 degrees in triangle. Therefore, to work out the remaining angle we must subtract the two known angles from 180 degrees. Remaining angle = 180 – 35.77 – 43 = 101.2273801 =101.23-As we know the angle and the lengths of the two sides between them we can work out the area of the triangle using the following formula, A= 0.5ABsinCTherefore, A = 0.5 x 12 x 14 x sin (101.2273801) = 82.39 m2
EC
Related Maths GCSE answers
All answers ▸What's the inverse of the function f=x+2?
A group of 55 students were asked if they had a cat or a dog. 11 were known to own both, 18 said they owned only a dog, and 34 said they owned at least a cat. Give the probability that a student has neither as a fraction in its simplest form.
A curve is given by the equation y=x^3-11x^2+28x; find the coordinates of the points where the curve touches the x-axis.
A t-shirt is in two shops, both of which has it on sale. In shop A, the t-shirt originally cost £15, but has been reduced by 30%. In shop B, it used to cost £17 and has been reduced by 40%. In which shop is the t-shirt now cheaper, and by how much?