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∆ABC and ∆PQR are similar. ∆ABC is dilated by a scale factor of 1.5 to form ∆PQR . The side lengths of ∆ABC are AB =5 units; BC = 4.2 units; and AC = 4 units. Find the length of PQ, QR and PR.
A. PQ = 6, QR = 6.3 and PR = 7.5.
B. PQ = 7.5, QR = 6 and PR = 6.3.
C. PQ = 6.3, QR = 7.5 and PR = 6
D. PQ = 7.5, QR = 6.3 and PR = 6.

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Answer:

Given that the triangle ABC is dilated by a scale factor of 1.25 to form the new triangle PQR, the dimensions of PQR will be as follows;

AB corresponds to PQ, but the length of AB=5 units, the length of PQ will be:

PQ=5*1.25=6.25 units

BC corresponds to QR, but the length if QR=4.2 units, the length of QR will be:

QR=4.2*1.25=5.25 units

lastly,

CA corresponds to RP, but CA=4 units, therefore RP will be:

4*1.25=5 units

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