In a triangle ABC, AB = 2 cm, BC = 3 cm and AC = 4 cm.

Choose the two options which give a triangle PQR which is similar to triangle ABC.

Options:

A. PQ = 1 cm, QR = 2 cm and PR = 3 cm.

B. PQ = 1 cm, QR = 1.5 cm and PR = 2 cm

C.PQ = 2.5 cm, QR = 1.5 cm and PR = 3 cm.

D. PQ = 6 cm, QR = 4 cm and PR = 9 cm

E. PQ = 6 cm, QR = 10 cm and PR = 5 cm

F. PQ = 6 cm, QR = 9 cm and PR = 12 cm

can some 1 help me ..

the first thing to do would be to examine your ratios. you've got A to P, B to Q, and C to R. which means that you've got (AB:BC:AC) 2:3:4. basically this means that AB and PQ have to be in the same proportion. so this means that PQ/QR = AB/BC.

B is the only answer that fits..

hope this helps

thanks i think i get it now

1 answer

You're welcome! I'm glad I could help. If you have any more questions or need further clarification, please don't hesitate to ask.
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