∆ ABC ~ ∆ PQR, in ∆ ABC, AB = 5.4 cm, BC = 4.2 cm, AC = 6.0 cm. AB : PQ = 3 : 2. Find all sides of ∆ PQR.
Answers
Answer:
PQ = 3.6 cm, QR = 2.8 cm, PR = 4cm
Step-by-step explanation:
∆ ABC ~ ∆ PQR,
∴Their corresponding sides are similiar.
AB/PQ = BC/QR = AC/PR = 3/2
∴5.4/PQ = 4.2/QR = 6/PR= 3/2
∴PQ = 3.6 cm
∴ QR = 2.8 cm, PR = 4cm.
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Given : ∆ ABC ~ ∆ PQR,
in ∆ ABC, AB = 5.4 cm, BC = 4.2 cm, AC = 6.0 cm.
AB : PQ = 3 : 2.
To Find : all sides of ∆ PQR.
Solution:
∆ ABC ~ ∆ PQR
Corresponding sides of similar triangle are proportional
Hence
AB/PQ = AC/PR = BC/QR
AB : PQ = 3 : 2.
=> AB/PQ = 3/2
Hence
AB/PQ = AC/PR = BC/QR = 3/2
AB = 5.4 cm, BC = 4.2 cm, AC = 6.0 cm
=> 5.4/PQ = 6.0 /PR = 4.2/QR = 3/2
=> PQ = 3.6 cm
QR = 2.8 cm
PR = 4 cm
All sides of ∆ PQR are
PQ = 3.6 cm , QR = 2.8 cm and PR = 4 cm
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