In the given figure, the sides YX, XZ, ZY are extended such that MY=YZ, NX=XY, XZ=ZO. The area of XYZ = 10, what is the area of DMNO ___
Answer: : In the given figure, let’s join Y to O, Z to N and X to M. Consider DMNY, since MX is a median, area ofDMXN = area of DMXY. But, area of DMXY = area of DXZY (XY is a median). Thus area of DMXN=area of DXZY This is continued for all the smaller triangles formed, hence DMNO = 7D XZY. Thus area of DMNO = 70.
