Mathematics 10 — Exercise 8.1 · Q10

Full question

A perpendicular is drawn from the centre of a circle to chord AB, whose length is 12 cm. Find the length of each of the two parts of AB.

Step-by-step solution

1. A centre perpendicular bisects the chord, giving AM=MB.

2. AM+MB=12; since they are equal, 2AM=12.

3. Divide both sides by 2: AM=12/2=6 cm, and MB=6 cm.

Answer

Each half is 6 cm.