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

Related Further Mathematics GCSE answers

All answers ▸

A curve is mapped by the equation y = 3x^3 + ax^2 + bx, where a is a constant. The value of dy/dx at x = 2 is double that of dy/dx at x = 1. A turning point occurs when x = -1. Find the values of a and b.


Solve the simultaneous equations xy=2 and y=3x+5.


This is a question from a past paper: https://prnt.sc/r6jnxc


write showing all working the following algebraic expression as a single fraction in its simplest form: 4-[(x+3)/ ((x^2 +5x +6)/(x-2))]