∆ABC ~∆PQR for the corresponding ABC <---> PQR and AB=6cm. what is the length of side PQ if the ratio of the corresponding sides of the two triangles is 2:3?
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Given : ΔABC ≈ Δ PQR
AB= 6 cm
ratio of the corresponding sides of the two triangles is 2 : 3
To Find : length of side PQ
Solution:
ΔABC ≈ Δ PQR
Similar Triangles: corresponding angles are congruent and the corresponding sides are proportional
=> AB/PQ = BC/QR = AC/PR
ratio of the corresponding sides of the two triangles is 2 : 3
=> AB/PQ = BC/QR = AC/PR = 2/3
=> AB/PQ = 2/3
=> 6/PQ = 2/3
=> 6 x 3/2 = PQ
=> 9 = PQ
Length of the side PQ = 9 cm
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