a) B 16 cm 16 cm A 0° Do C Figure 1 18 cm 15 cm NOT TO SCALE D Figure 1 shows the quadrilateral ABCD which is made up of two acute-angled triangles ABD and BCD. AB= 16 cm, AD = 18 cm, BC = 16 cm and 7 CD = 15 cm. Angle A = 0°, where cos 0 = and angle C pº. 12 i) Find an expression for cos p. Give your answer in the form a and b are integers. where ii) Find the area of triangle ABD. Give your answer in the form p√q where p and q are integers.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.4: Basic Constructions Justified
Problem 37E: Draw an obtuse triangle and construct the three perpendicular bisectors of its sides. Do the...
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Question
Question 5
a)
B
16 cm
16 cm
A
0°
Do
b) Solve 64 tan6x = 729
C
18 cm
15 cm
Figure 1
Figure 1 shows the quadrilateral ABCD which is made up of two acute-angled
triangles ABD and BCD. AB = 16 cm, AD = 18 cm, BC = 16 cm and
7
CD = 15 cm. Angle A = 0°, where cos 0 = and angle C pº.
(0° < x < 360°)
12
NOT TO SCALE
I
D
i) Find an expression for cos . Give your answer in the form where
a and b are integers.
ii) Find the area of triangle ABD. Give your answer in the form p√q where
p and q are integers.
Transcribed Image Text:Question 5 a) B 16 cm 16 cm A 0° Do b) Solve 64 tan6x = 729 C 18 cm 15 cm Figure 1 Figure 1 shows the quadrilateral ABCD which is made up of two acute-angled triangles ABD and BCD. AB = 16 cm, AD = 18 cm, BC = 16 cm and 7 CD = 15 cm. Angle A = 0°, where cos 0 = and angle C pº. (0° < x < 360°) 12 NOT TO SCALE I D i) Find an expression for cos . Give your answer in the form where a and b are integers. ii) Find the area of triangle ABD. Give your answer in the form p√q where p and q are integers.
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