The areas of two similar triangle are 121 sq.m and 64 sq.m. If the median
of the 1st triangle = 12.1m, then the median of the 2nd triangle will be
(a) 6.4 m
(b) 8.4 m (c) 8.8 m
(d) 9.2 m
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Answer
8.8m
The ratio of the areas of two similar triangles is equal to the ratio of the squares of the corresponding medians. Therefore,
64
121
=
x
2
(12.1)
2
, where x is the median of the other △.
⇒ x
2
=
121
(12.1)
2
×64
⇒x=
100
121
×64
=
10
11
×8=8.8 cm
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