Mathematics
If a point C lies between two points A and B such that AC = BC, then prove that AC = AB. Explain by drawing the figure.
Euclid's Geometry
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Answer
According to Euclid's axioms, we know that when equals are added to equals, the wholes are equal.
Given : AC = BC
Adding AC on both sides, we get
⇒ AC + AC = BC + AC (BC + AC coincides with AB)
⇒ 2 AC = AB
⇒ AC = AB
⇒ Hence, proved that AC = AB.
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