Page 22 - Spotlight A+ SPM Additional Mathematics Form 4 & 5

Form
4
Chapter 9 Solution of Triangles Additional Mathematics

9.2

1. The diagram below shows a triangle ABC. 5. The diagram below shows a quadrilateral ABCD.
D
C
8.1 cm 3.8 cm
x
A C
B 72°
9.6 cm 6.3 cm
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4.2 cm 5.7 cm
29°
B
Given that AB = 9.6 cm, BC = 6.3 cm,
A CD = 3.8 cm, AD = 8.1 cm and ∠BCD = 72°.
Find C3
Given that AB = 4.2 cm, AC = 5.7 cm and (a) the length of BD,
∠BAC = 29°, find the value of x. C2
(b) ∠ADB.
6. The diagram below shows a triangle KMN.
2. The diagram below shows a triangle PQR.
Given that KLM is a straight line.
11.2 cm R 2.7 cm
Q L M
14.1 cm
124°
8.1 cm y K 9.8 cm 11.3 cm

x
P
N
Given that PQ = 8.1 cm, QR = 11.2 cm and If KL = 14.1 cm, LM = 2.7 cm, MN = 11.3 cm
∠PQR = 124°, find the value of y. C2 and LN = 9.8 cm, find the value of x. C3
7. In a shooting practice, Syafiq was required to
3. The diagram below shows a triangle ABC. shoot on two boards practice such as board A
is 50 meters and board B is 75 meters from a
B shooting point respectively. If the angle formed
5.7 cm between boards A and B at the shooting point CHAP
is 32°, find the distance between board A and 9
A 6.3 cm
board B. C4
7.4 cm θ
Board
C
B
Given that AB = 5.7 cm, BC = 6.3 cm and 75 m
AC = 7.4 cm, find the value of θ. C2 Board
A
50 m 32°
4. The diagram below shows a triangle KLM.
Shooting
point
K
15.1 cm 8. Zaki drove a boat 25 km to the Nibong's
jetty at the bearing of 118° from Sekinchan's
11.2 cm lighthouse. Then, he drove the boat 38 km to
θ L
Redang Island at the bearing of 232° from the
6.7 cm
M Nibong's jetty. Calculate the distance between
Sekinchan's lighthouse and Redang Island.
Given that KL = 15.1 cm, LM = 6.7 cm and C5
KM = 11.2 cm, find the value of θ. C2

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