Coordinate Geometry: Line Intercepts and Triangle Area

Coordinate Geometry: Line Intercepts and Triangle Area

Secondary 3

The diagram shows the graph of \(y=8-x\).
The graph intersects the \(x\)-axis and \(y\)-axis at points \(A\) and \(B\) respectively.

  1. Write down the coordinates of \(A\) and \(B\).
  2. Calculate the length of the line segment \(AB\).
  3. Calculate the area of triangle \(AOB\).
    Hence, calculate the shortest distance from point \(O\) to the line \(AB\).

Video Solution:

Video Solution

Video solution locked

A free account saves your progress; this video needs a course plan.

Solution:

Solution locked

680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs a course plan.

Answer:(i) \(A(8,0)\), \(B(0,8)\) (ii) \(11.3\) units (iii) \(32\) units\(^2\), \(5.66\) units

Need help? Join our E-Maths tuition for O-Level success.

Learn more