Question

triangle ABC is similiar to triangle PQR , in triangle ABC, AB = 5.4cm, BC = 4.2cm and AC = 6cm. AB : PQ = 3 : 2.
Construct triangle ABC and triangle PQR

Answer 1

Answer:

PQ = 3.6 cm , QR = 2.8 cm , PR = 4 cm

Answer 2

Triangle ABC is similiar to triangle PQR , in triangle ABC, AB = 5.4cm, BC = 4.2cm and AC = 6cm. AB : PQ = 3 : 2.

∆ ABC ~ ∆ PQR  (corresponding sides of similar triangle are proportional)

Therefore:-

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

Ans :-Three sides of ∆ PQR are:-

PQ = 3.6 cm ,    

QR = 2.8 cm .

PR = 4 cm . 

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