Page 43 - ADVANCED MATH F.5

Form Five Form Five

Perpendicular distance of a point from a line
Teaching steps

1. Guide students through discussion to use Figures 3.2 and 3.3
in the Student’s Book to derive the formula for the shortest/
FOR ONLINE READING ONLY
perpendicular distance of a point from a line.
2. Allow students through discussion to share alternative methods
of deriving the formula for the perpendicular distance of a
point from a line.
3. For further discussion, guide students to discuss Examples 3.4
and 3.5 in the Student’s Book. Advise them to use scientific
calculators and a mathematical software of their choice to
compare the answers for the examples.

4. Instruct students to attempt Exercise 3.2 in the Student’s Book.
Advise students to submit their work, check the correctness of
the answers, and provide them constructive feedback where
necessary.

Answers to Exercise 3.2

3
1. (a) 1 unit (b) 2.55 units (c) a units
5
2h + 4k
(d) units (e) 0 units, the point lies on the line
5

− 9 ± 2
2. p P =
3

4. PR =PR = 5.06 units, QS 0.95 units and RS 0.32 units=5.06 units, QS 0.95 units and RS 0.32 units= , ==

6. k = –5 7. n = − 1

2
8. a = − or a = 34

37
Mathematics for Advanced Secondary Schools

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ADVANCED MATH F.5 TG CHAPTERS.indd 37 30/06/2024 18:01:50
ADVANCED MATH F.5 TG CHAPTERS.indd 37