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
8341 Views
See similar Further Mathematics GCSE tutorsRelated Further Mathematics GCSE answers
All answers ▸Express (7+ √5)/(3+√5) in the form a + b √5, where a and b are integers.
Find the gradient of the line x^2 + 3x - 6 at the point (5,34)
In a chess club there are x boys and y girls. If ten more boys join and one more girl joins, there is an equal amount of boys and girls. Knowing that y = 2x+2, Calculate x and y. [4 marks]
Work out the equation of the tangent to the curve y=x^2+5x-8 at the point (2,6)