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Using Sine to find the area of a triangle
1
Area of triangle ABC = ab sin C
2
OR
1
Area of triangle ABC = ac sin B
2
OR A
1
Area of triangle ABC = bc sin A
2 c b
B a C…read more

Slide 3

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Example 1
Find the area of triangle ABC.
B
5cm
Area = 1 ab sin C a c
2
38°
C A
7cm b
(To 3 sig figs)…read more

Slide 4

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Example 2 B
8cm
Find the area of triangle ABC. 13cm
c
a
You have all 3 sides but no angle in
order to apply the area sine rule 19.4°
A C
Find angle C, using the cosine rule. 19cm b
CosC= a²+ b²- c² Now apply the area sine rule
2ab 1 ab sin C
2
CosC= 13²+ 19²- 8² =0.9433
2×13×19
C= (0.9433)
(To 3 sig figs)
= 19.4° (1.d.p)…read more

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