Question

The areas of two similar triangles are 25cm^2 and 36^2.if the median of the smaller triangle is 10cm, then the median of the larger triangle is
a)12cm
b)15cm
c)10cm
d)18cm​
please help mee

Answer 1

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Given :-

• The areas of two similar triangles are 25cm^2 and 36^2
• median of the smaller triangle is 10cm,

To Find:-

• median of the larger triangle

Solution :-

• Therefore ratio of their areas =square of ratios of corresponding median

• $( \sqrt{ \frac{25}{36} } ) = \frac{10}{x}$
• $\frac{10}{x} = \frac{5}{6}$
• $x = 12$

Final Answer is 12cm

Answer 2

option A 12 CM is correct