1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Area Using Sine Rule
The area of t...
Question
The area of triangle (without using Heron's Formula) having side lengths,
a
=
2
√
13
b
=
6
c
=
8
is
sq. units.
A
12
√
3
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
4
√
39
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
3
√
39
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
A
12
√
3
Calculating angle A using cosine rule -
cos
A
=
b
2
+
c
2
−
a
2
2
b
c
=
6
2
+
8
2
−
(
2
√
13
)
2
2
×
6
×
8
=
100
−
52
2
×
48
=
1
2
⇒
A
=
60
ο
Now the area can be calculated as
A
r
e
a
=
1
2
×
b
c
sin
A
=
1
2
×
6
×
8
×
√
3
2
=
12
√
3
s
q
.
u
n
i
t
s
.