if a point Z lies on the line XY between two X and Y such that XY = YZ, then prove that XZ = 1/2 XY

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Solution

point Z divides the line segment XY into two parts XZ and YZ
â‡’ XZ+YZ =XY
We are given in the question that XZ=YZ
â‡’2XZ = XY
â‡’ XZ = 1/2XY

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if a point Z lies on the line XY between two X and Y such that XY = YZ, then prove that XZ = 1/2 XY

point Z divides the line segment XY into two parts XZ and YZâ‡’ XZ+YZ =XYWe are given in the question that XZ=YZâ‡’2XZ = XYâ‡’ XZ = 1/2XY

point Z divides the line segment XY into two parts XZ and YZ
â‡’ XZ+YZ =XY
We are given in the question that XZ=YZ
â‡’2XZ = XY
â‡’ XZ = 1/2XY