EXAMPLE 1
In triangle ABC, if a = 25 cm, b = 52 cm and c = 63 cm. Find the area of triangle ABC.
Solution
In triangle ABC, s = 1/2 (a + b + c) = 1/2 (25 + 52 + 63) = 140 /2 = 70 cms.
Using Hero's formula i.e.,
EXAMPLE 2
In triangle ABC, if a = 25, b = 12 and
ÐC = 51^{0}. Find the area of triangle ABC.
Solution
Using SAS type i.e.
D= 1/2 ab sin C
\ D= 1/2
(25) (12) sin 51^{0}
\ D= 116.57
sq. units
EXAMPLE 3
In triangle ABC, if a = 125, b = 123, c = 62. Show that sin B =
or 0.96
Solution
Firstly we will find area of triangle ABC by using Hero's formula. Here
s = 1/2 (a + b + c) = 155
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