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Standard VI
Mathematics
Word Problems
Question
The ratio of the based of two triangles is x : y and that of their areas is a : b . The ratio of their corresponding altitudes will be
ax : by
a
x
:
b
y
ay : bx
x
a
:
b
y
A
ax : by
B
a
x
:
b
y
C
x
a
:
b
y
D
ay : bx
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Solution
Verified by Toppr
Let the corresponding altitudes be
h
1
and
h
2
Then
1
2
×
h
1
×
x
=
a
⇒
h
1
=
2
a
x
and
1
2
×
h
2
×
y
−
b
⇒
h
2
=
2
b
y
∴
h
1
:
h
2
=
2
a
x
:
2
b
y
=
a
x
:
b
y
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