Question

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​

Answer 1

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