**Problem**

**Introduction**

This “elementary”
mathematics question poses a challenge because it actually testing Coordinate
Geometry and Circle Geometry. In the
setting of tests and exams, there seems to be a trend of combining topics. To solve this problem successfully, students
need to know that when a chord is

*bisected*(cut into two equal parts), the line segment joining its mid-point to the centre of the circle will be perpendicular to the chord itself. Thereafter, we can proceed with Pythagoras’ Theorem.**Solution**

**Remarks**

There is actually no boundary between
topics and even subjects. Things to be
learned are separated into topics only to facilitate teaching of the material. Students are encourage to adopt a more
wholistic view of knowledge.

H04. Look for
pattern(s)

H05. Work
backwards

H09. Restate
the problem in another way

H10. Simplify
the problem

H11. Solve part
of the problem

H13* Use
Equation / write a Mathematical Sentence

**Suitable Levels**

*****GCE ‘O’ Level Mathematics (“Elementary Mathematics”)

*****GCE ‘O’ Level Additional Mathematics (revision)

* other syllabuses that involve geometry and
coordinate geometry / analytic geometry

* whoever is interested

* whoever is interested

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