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Byju's Answer
Standard XII
Mathematics
Condition for Two Lines to Be Parallel
In given figu...
Question
In given figure triangle ABC circumscribes the circle with center O and radius
2
c
m
.
Area of
Δ
A
B
C
is
16
c
m
2
. find AB
A
5
c
m
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B
6
c
m
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C
7
c
m
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D
8
c
m
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Solution
The correct option is
A
5
c
m
Area of
Δ
A
B
C
=
A
r
e
a
o
f
(
Δ
A
O
B
+
Δ
B
O
C
+
Δ
A
O
C
)
=
1
2
×
O
R
×
B
C
+
1
2
×
O
P
×
A
B
+
1
2
×
O
Q
×
A
C
Let
A
P
=
A
Q
=
x
∴
A
B
=
A
P
+
P
B
=
A
P
+
R
B
=
x
+
2
∴
A
C
=
x
+
3
∴
A
(
Δ
A
B
C
)
=
1
2
×
2
×
5
+
1
2
×
2
×
(
x
+
2
)
+
1
2
×
2
×
(
x
+
3
)
⇒
2
x
+
10
=
16
⇒
x
=
3
∴
A
B
=
5
c
m
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Similar questions
Q.
In Figure 2. a right triangle ABC. circumscribes a circle of radius r. If AB and BC are of length 8 cm and 6 cm respectively. find the value of r.