- ABC = 5 cm, and AC > BC
- BBC = 5 cm, and AC < BC
- CBC = 23 cm, and AC > BC
- DBC = 9 cm, and AC = BC
Step-by-Step Solution
AB + BC = AC, so BC = 14 - 9 = 5 cm. The whole AC = 14 cm is greater than its part BC = 5 cm.
Answer: A) BC = 5 cm, and AC > BC
Riya draws a line segment AC and marks a point B on it between A and C. She measures AC = 14 cm and the part AB = 9 cm.
Using the axiom 'the whole is greater than the part' and 'equals subtracted from equals', what is BC, and is the whole AC greater than the part BC?
Class 9Euclid's AxiomsGeometry — Foundations
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