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If and are medians of triangles and
MATHEMATICS · Subjective · CBSE · Mathematics · Triangles · Triangles
Problem
16. If
A
D
A D
A
D
and
P
M
P M
P
M
are medians of triangles
A
B
C
A B C
A
B
C
and
P
Q
R
P Q R
P
QR
, respectively where
Δ
A
B
C
∼
Δ
P
Q
R
\Delta \mathrm{ABC} \sim \Delta \mathrm{PQR}
Δ
ABC
∼
Δ
PQR
, prove that
A
B
P
Q
=
A
D
P
M
\frac{\mathrm{AB}}{\mathrm{PQ}}=\frac{\mathrm{AD}}{\mathrm{PM}}
PQ
AB
=
PM
AD
.
Related theory
Similarity of Triangles
Similarity
Triangle similarity conditions
Triangles
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