Question:

If ABC ~ PQR, A( ABC) = 80, A( PQR) = 125, then fill in the blanks.

A( ABC) /A(… ) = 80/125 AB/PQ = ____/____

Answer:

Given A( ABC) = 80, A( PQR) = 125
( ABC) / A( PQR) = 80/125 = 16/25
( ABC) / A( PQR) = AB²/PQ² [Theorem of areas of similar triangles]
AB²/PQ² = 16/25
Taking square root on both sides
AB/PQ = 4/5
Hence AB/PQ = 4/5

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If ABC ~ PQR, A( ABC) = 80, A( PQR) = 125, then fill in the blanks.

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