construction of similar triangles with improper fraction and mixed fraction
with diagrams ; )
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Answer:
The corresponding angles of the two triangles are equal.
i.e. ∠A = ∠P, ∠B = ∠Q, ∠C = ∠R
(ii) Corresponding sides are in a ratio or proportion.
A
B
P
Q
=
B
C
Q
R
=
A
C
P
R
Thus, the similarity of ∆ABC and ∆PQR can be written as ∆ABC ~ ∆PQR and it is read as “∆ABC is similar to ∆PQR”.
Example:
Consider the two triangles namely ∆ABC and ∆PQR given in the figure such that ∆ABC~∆PQR. What is the length of the side PR if AB = 6 cm, AC = 8 cm and PQ = 3 cm?
Construction Of Triangles
Since, ∆ABC~∆PQR
A
B
P
Q
=
A
C
P
R
6
3
=
8
P
R
PR =
8
×
3
6
= 4 cm
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