Analysis and Approaches for IBDP Maths Ebook 1 | Page 131

The area of triangle ACD is half the area of triangle ABC.
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(c)
(d)
Find CB.
[4]
A man runs from C directly to B and it takes an hour. A woman runs from D
directly to B . Given that they run at the same speed, find the time taken by the
woman to finish her journey, giving the answer in hours.
[5]
3. The following diagram shows the quadrilateral ABCD.
AB � 60 km , DC � 83 km , ACD ˆ � � , ACB ˆ � 83 ,
and the bearing of A from B is 312 .
(a)
Find AC.
(b) Find the area of triangle ABC .
The area of triangle ACD is 1.5 times the area of triangle ABC.
(c) Given that � is acute, find � .
[4]
(d) Car P travels from B directly to C , then from C directly to D . Car Q travels
from B directly to D . The speed of Car P is 50 km per hour. Given that the time
required from the two cars to finish their journey is the same, find the speed of
Car Q .
[5]
[3]
[3]
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