If a : b = 2 : 3 and b : c = 4 : 5, find \( \Large a^{2} : b^{2} : bc \)
Correct Answer: Description for Correct answer:
a : B = 2 : 3, b : c = 4 : 5
a : b : c
\( \Large 2_{ \times 4} \)\( \Large 3_{ \times 4} \)
\( \Large 4_{ \times 3} \)\( \Large 5_{ \times 3} \)
8 : 12 : 15
\( \Large 2_{ \times 4} \)\( \Large 3_{ \times 4} \)
\( \Large 4_{ \times 3} \)\( \Large 5_{ \times 3} \)
Therefore, \( \Large a^{2} : b^{2} : bc \)
=> \( \Large \left(8\right)^{2} : \left(12\right)^{2} : \left(12 \times 15\right) \)
=> 64 : 144 : 180
=> 16 : 36 : 45
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