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Byju's Answer
Standard IX
Mathematics
RHS Criteria for Congruency
ABC is a righ...
Question
△
A
B
C
is a right angled in which
L
C
=
90
o
and
C
D
⊥
A
B
. If
B
C
=
a
,
C
A
=
b
,
A
B
=
c
and
C
D
=
p
then prove that
c
p
=
a
b
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Solution
Area of triangle is
b
a
s
e
×
h
e
i
g
h
t
When
c
is taken as base Then,
p
becomes height so the area is
1
2
c
p
When
b
is taken as base Then,
a
becomes height so the area is
1
2
a
b
Since area is same
⟹
a
b
=
c
p
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1
Similar questions
Q.
△
A
B
C
is a right angled in which
L
C
=
90
o
and
C
D
⊥
A
B
. If
B
C
=
a
,
C
A
=
b
,
A
B
=
c
and
C
D
=
p
then prove that
1
p
2
=
1
a
2
+
1
b
2
Q.
A
B
C
is a right angled triangle with
∠
C
=
90
o
,
B
C
=
a
,
A
C
=
b
,
C
D
⊥
A
B
and
C
D
=
P
. Show that
1
P
2
=
1
a
2
+
1
b
2
Q.
In a right angled
△
A
B
C
, right angled at
A
, if
A
D
⊥
B
C
such that
A
D
=
p
, if
B
C
=
a
,
C
A
=
b
and
A
B
=
c
, then:
Q.
A
B
C
is a right triangle, right-angled at
C
. Let
B
C
=
a
,
C
A
=
b
,
A
B
=
c
and let
p
be the length of perepndicular from
C
on
A
B
, prove that
i)
c
p
=
a
b
ii)
1
p
2
=
1
a
2
+
1
b
2
Q.
ABC is a right triangle, right-angled at C. If BC = a,CA = b, AB = c and p be the length of perpendicular from C on AB, then
(i)
c
p
=
a
b
(ii)
1
p
2
=
1
a
2
+
1
b
2
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