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If a point C lies between two points A and B such that AC = BC, then prove that AC = 1/2 AB. Explain by drawing the figure.
Introduction to Euclid Geometry
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09/07/2021 11:46 am
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If a point C lies between two points A and B such that AC = BC, then prove that AC = 1/2 AB. Explain by drawing the figure.
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09/07/2021 11:48 am
Given that, AC = BC
Now, adding AC both sides.
L.H.S + AC = R.H.S + AC
AC + AC = BC + AC
2AC = BC + AC
We know that, BC + AC = AB (as it coincides with line segment AB)
∴ 2 AC = AB (If equals are added to equals, the wholes are equal.)
⇒ AC = (\(\frac{1}{2}\))AB.
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