This document provides instructions for finding the area of triangle BCD in a quadrilateral figure. It prompts the user to label the height of the triangle as y, then use trigonometry and Pythagoras' theorem to find the value of y. The area of triangle BCD is then given as 233/2 units squared.

1. Information:
Task:
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solution
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Task
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information
Here is a quadrilateral ABCD.
c
ba
m3
m8
30
A
B
C
D
45
Find the area of triangle
BCD, giving your answer in the
form:
where a, b and c are integers to
be found.

2. To calculate the area of a triangle what do you needUse the Sine Rule.
Base and height or an angle and two adjacent sides.
m3
m8
30
A
B
C
D
45
2
2
233
m
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solution
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question.
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first step
?
Solved!
End power point.
x
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next step
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answer.
Label what you will need to find the height CD
y
?
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answer.
What use will ‘y’ be
You can then apply Pythagoras’Theorem to find x.
How can you find y given what you have in ΔABD.
?
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answer.
?
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answer.
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answer.
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next step
222
243x
Apply Pythagoras’Theorem to find x.
92
x
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next step
?
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answer.
32
x
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answer.
?23
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next step
Find the area:
233Area 2
1
BCD
?
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answer.
23

3. :isarea BCD
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solution
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question
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Solution
Solved!
End power point.
2
233

4. 30sin
y
45sin
8
2
1
2
1
8y
y2 28
24y
24