abc~pqr length of median drawn from pt. b is 4 and pt. q is 16 find area of triangle abc /area of triangle pqr
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Therefore the ratio of the area of ΔABC to the area of ΔPQR is 1/16.
Given:
Two triangles namely ΔABC and ΔPQR.
The length of the median drawn at 'B' in ΔABC = 4 units
The length of the median drawn at 'Q' in ΔPQR = 16 units
To Find:
The ratio of the area of ΔABC to the area of ΔPQR.
Solution:
The given problem can be easily solved as shown below.
Given that,
The length of the median drawn at 'B' in ΔABC = 4 units
The length of the median drawn at 'Q' in ΔPQR = 16 units
From the properties of triangles,
⇒ Ar ( ΔABC ) / Ar ( ΔPQR ) = ( Median of ΔABC )² / ( Median of ΔPQR )²
⇒ Ar ( ΔABC ) / Ar ( ΔPQR ) = 4² / 16² = 1 / 4² = 1/16
Therefore the ratio of the area of ΔABC to the area of ΔPQR is 1/16.
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Answer:
a)8/1 b)1/16 c)64/1 d)16/1
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