Finding the Area of Any Triangle
-
Calculator 3 marks
\(ABC\) is a triangle.
Work out the area of triangle \(ABC\).
Give your answer to 1 decimal place.
-
Calculator 3 marks
The area of triangle \(ABC\) is \(39\) cm².
Work out the length of the side marked \(x\).
Give your answer correct to 1 decimal place.
-
Calculator 4 marks
\(ABCD\) is a parallelogram.
Find the area of the parallelogram.
Give your answer correct to 1 decimal place.
-
Calculator 4 marks
The area of triangle \(ABC\) is \(35.6\) cm².
Calculate the size of the acute angle marked \(x\).
Give your answer to 1 decimal place.
-
Calculator 5 marks
The diagram shows a quadrilateral \(ABCD\). The diagonal \(AC\) has been drawn.
\(AB = 12\) cm, \(CD = 13\) cm and \(AC = 12\) cm.
Angle \(BAC = 26^\circ\) and angle \(DCA = 39^\circ\).
Find the area of the quadrilateral \(ABCD\).
Give your answer to 1 decimal place.
-
Calculator 5 marks
\(ABC\) is a triangle. The lengths of all three of its sides are marked on the diagram.
Find the area of triangle \(ABC\).
Give your answer to 1 decimal place.
-
Calculator 5 marks
A triangular picnic area at a campsite has one side \(PQ\) of length \(14\) m.
Angle \(QPR = 39^\circ\) and angle \(PQR = 56^\circ\).
Find the area of the picnic area.
Give your answer to the nearest square metre.
-
Calculator 5 marks
A regular hexagon has all of its vertices on a circle of radius \(13\) cm. The centre of the circle is \(O\).
\(O\) is joined to every vertex, cutting the hexagon into six triangles.
Work out the area of the hexagon.
Give your answer to 1 decimal place.
-
Calculator 5 marks
\(ABC\) is a triangle. Two of its sides and one of its angles are marked on the diagram.
Calculate the area of triangle \(ABC\).
Give your answer correct to 1 decimal place.
-
Calculator 4 marks
The area of triangle \(ABC\) is \(62\) cm².
Angle \(BAC = 119^\circ\).
\(AB = x\) cm, and \(AC\) is four times as long as \(AB\).
Work out the value of \(x\).
Give your answer correct to 1 decimal place.
- \(17.4\ \text{cm}^2\)
- \(10.2\ \text{cm}\)
- \(151.7\ \text{cm}^2\)
- \(62.9^\circ\)
- \(80.6\ \text{cm}^2\)
- \(77.8\ \text{cm}^2\)
- \(51\ \text{m}^2\)
- \(439.1\ \text{cm}^2\)
- \(69.4\ \text{cm}^2\)
- \(6.0\)
Takes a couple of seconds the first time a sheet is made.