Mathematics
A triangle ABC has been enlarged by scale factor m = 2.5 to the triangle A' B' C'. Calculate :
(i) the length of AB, if A'B' = 6 cm.
(ii) the length of C'A' if CA = 4 cm.
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Answer
Given that, ΔABC has been enlarged by scale factor m of 2.5 to ΔA'B'C'.
(i)
∴ A'B' = m × AB
⇒ 6 = 2.5 × AB
⇒ AB = cm.
Hence, AB = 2.4 cm
(ii)
∴ C'A' = m × CA
⇒ C'A' = 2.5 × 4
⇒ C'A' = 10 cm.
Hence, C'A' = 10 cm.
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