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Byju's Answer
Standard X
Mathematics
Constructing a Similar Triangle with a Scale Factor
Construct Δ...
Question
Construct
Δ
P
Q
R
, such that
Q
R
=
6.5
c
m
,
∠
P
Q
R
=
60
0
and
P
Q
−
P
R
=
2.5
c
m
.
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Solution
Step 1: Construct a straight line QR = 6.5 cm.
Step 2: At point Q, construct an angle of
60
o
Step 3: On the arm of this angle mark point X at a distance of 2.5 cm from Q
Step 4: Join X to R.
Step 5: Now the copy the angle formed at X on R.
Step 6: Extend the arms of both the angles and mark their intersection as P.
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Q.
Construct
∆
PQR, such that QR = 7.4 cm,
∠
PQR=
60
°
and PQ
-
PR = 2.5 cm.