if angle abc and angle pqr are similar then find the length of PQ and QR ??
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Answer:
In triangle ABC AND PQR
AB=PQ
BC=QR
AC=PR
triangle ABC congruents to triangle PQR
THEREFORE,
PQ=7CM
QR=10CM
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0
if triangle abc and triangle pqr are similar then find the length of PQ and QR ??
[correct question]
Given:
triangle abc and triangle pqr are similar
To find:
the length of PQ and QR
Solution:
If the triangles are similar then the ratio of the sides are equivalent as per the sequence of the vertex of the triangle
as we have given that
ΔABC ≈ ΔPQR
so the ratio of the sides will be given by:
- AB/PQ = BC/QR = CA/RP
from the figure
- 7/PQ = 10/QR = 12/18
for QR
- 10/QR = 12/18
- QR = 180/12
- QR = 15 cm
For PQ
- 7/PQ = 12/18
- PQ = 126/12
- PQ = 10.5 cm
The length of PQ = 10.5 cm and QR = 15 cm
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