1MA0 Higher November 2013 Paper 1 Q8

EdexcelHigherOld spec5 marksForming Equations

8

Triangle ABC with AB = 3x - 5, AC = 19 - x and BC = 2x; angles at B and C are marked equal

Diagram NOT accurately drawn

\(ABC\) is a triangle.

Angle \(ABC\) = angle \(BCA\).

The length of side \(AB\) is \((3x - 5)\) cm.
The length of side \(AC\) is \((19 - x)\) cm.
The length of side \(BC\) is \(2x\) cm.

Work out the perimeter of the triangle.
Give your answer as a number of centimetres. (5)