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In figure 5.38, points X, Y, Z are the midpointsAB, side BC and side AC of \Delta ABCAB = 5 cm, AC = 9 cm andBC = 11 cm. Find the length of XY, YZ, XZ. |
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Answer» AB = 5CM , AC = 9CM , BC = 11CMIF points X,Y,Z are the midpoints of side AB, side BC and side AC of ΔABC.then,AX = BX = 5/2 = 2.5CM BY = CY = 11/2 = 5.5 CMAZ = CZ = 9/2 = 4.5 CMFrom the property, we can say that XY is parallel to AC. Similarly, YZ is parallel to AB and XZ is parallel to BC.then ,BY = XZ = 5.5CMYZ = XB = 2.5CMXY = CZ = 4.5CM Hence , (XY, YZ, XZ.) = ( 4.5cm , 2.5cm , 5.5cm) |
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