Question
Download Solution PDFXYZ is a triangle. If the medians ZL and YM intersect each other at G, then (Area of ΔGLM : Area of ΔXYZ) is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
ZL and YM intersect each other at G.
Concept:
Median divides the triangle into two equal parts.
Calculation:
If mid points of sides of a triangle joined, then the triangle is divided into four equal parts, [see figure (1)]
Let area of each triangle ΔXLM = ΔYLP = ΔPMZ = ΔLMP = 6 units
Total area of ΔXYZ = 24 units
Median divides the triangle into two equal parts, [see figure (2)]
Area of each triangle ΔLGM = ΔMGP = ΔPLG = 2 units
∴ Area of ΔGLM : Area of ΔXYZ = 2 : 24 = 1 : 12.
Last updated on May 28, 2025
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