Lengths of two sides of the triangle and the angle between them are known. Find the length of the third side and the area of the triangle.
We don't know what type of a triangle we're considering here. Therefore the universal and quickest solution to the first problem is use of the cosine rule, which states that for a triangle with sides a,b and c and the angle θ between sides “a” and “b”:c2=a2+b2-2abcos(θ) To find the area of the triangle we should use the formula: A=1/2absin(θ)
SK
Answered by Szymon K. • Further Mathematics tutor
8044 Views
See similar Further Mathematics GCSE tutorsRelated Further Mathematics GCSE answers
All answers ▸(x+4)((x^2) - kx - 5) is expanded and simplified. The coefficient of the x^2 term twice the coefficient of the x term. Work out the value of k.
Can you explain induction and go through an example?
Use differentiation to show the function f(x)=2x^3–12x^2+25x–11 is an increasing function for all values of x
x^3 + 2x^2 - 9x - 18 = (x^2 - a^2)(x + b) where a,b are integers. Work out the three linear factors of x^3 + 2x^2 - 9x - 18. (Note: x^3 indicates x cubed and x^2 indicates x squared).