XYZ is a triangle. If the medians ZL and YM intersect each other at G, then (Area of ΔGLM : Area of ΔXYZ) is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e 1 : 12.
| Understanding | Application |
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Median divides the triangle into two equal parts. If we join midpoints of sides of the triangle than triangle divided into four equal parts. Let the area of triangle XLM = 6 unit Now Area of triangle XLM=Area of triangle YLP=Area of triangle PMZ=Area of triangle LMP= 6 units Total area of traingle = 6 + 6 + 6 + 6 = 24 units As we know the median of a triangle divides the triangle into two equal parts. Area of triangle LGM=Area of triangle MGP=Area of triangle PLG= 2 units Area of triangle GLM : Area of triangle XYZ = 2 : 24 = 1 : 12 |
