Higher November 2017 Paper 1 Q21
21 \(A\), \(B\) and \(C\) are points on the axes as shown.
Not drawn accurately
The area of triangle \(ABC\) is 28 square units.
Work out possible coordinates for \(A\), \(B\) and \(C\). [2 marks]
| Answer | Mark | Comments |
|---|---|---|
| Set of 3 points that give area 28 and \(A\) on positive \(y\)-axis and \(B\) on negative \(y\)-axis and \(C\) on positive \(x\)-axis | B2 | eg1 \(A(0, 10)\) \(B(0, -4)\) \(C(4, 0)\) eg2 \(A(0, 18)\) \(B(0, -10)\) \(C(2, 0)\) B1 diagram labelled with numbers that give area 28 eg \(A\) labelled 20, \(B\) labelled \(-8\), \(C\) labelled 2 or calculation of form \(\dfrac{b \times h}{2}\) seen that equals 28 or \(b \times h\) that equals \(2 \times 28\) eg \(\dfrac{8 \times 7}{2}\) (\(= 28\)) or \(8 \times 7\) (\(= 56\)) |