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Byju's Answer
Standard IX
Mathematics
Area of a Triangle - by Heron's Formula
AD is drawn p...
Question
A
D
is drawn perpendicular to base
B
C
of an equilateral triangle
A
B
C
. Given
B
C
=
10
c
m
, find the length of
A
D
, correct to
1
place of decimal
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Solution
We know that in an equilateral triangle,
A
r
e
a
=
3
√
4
×
s
i
d
e
2
=
1
2
×
b
a
s
e
×
h
e
i
g
h
t
Area=34×side2=12×base×height
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Similar questions
Q.
AD is drawn perpendicular to base BC of an equilateral triangle ABC. Given BC
=
10
cm, find the length of AD, correct to
1
place of decimal.
Q.
In an equilateral triangle ABC, AD is drawn perpendicular to BC meeting BC in A. If
(
A
D
)
2
=
x
(
B
D
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2
. Find
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.
Q.
Triangle
A
B
C
is angled at
A
.
A
D
is drawn perpendicular to
B
C
. If
A
B
=
10
c
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,
A
C
=
12
c
m
, find the area of
△
A
B
C
. Also find the length of
A
D
.
Q.
In an equilateral triangle ABC of side 'a', AD is the perpendicular drawn onto side BC. Find
A
D
×
c
o
t
θ
in terms of a.
Q.
In an equilateral triangle ABC of side 'a', AD is the perpendicular drawn onto side BC. Find
A
D
c
o
t
θ
in terms of a.
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