Sainik School Entrance Exam 2019 Solved Paper

Question : 45 of 150

Marks: +1, -0

Two isosceles triangles have equal vertical angles and their areas in the ratio

25: 36

. Find the ratio of their corresponding heights

Solution:

(b) ∴ △ABC~△PQR (From SAS)

{Ar(△\ABC)}/{Ar(△PQR)}=\AB^2/\PQ^2=\AC^2/\PR^2

\BC^2/\PQ^2=h_1^2/h_2^2

∴

h_1/h_2=√{{\Ar(△\ABC)}/{\Ar(△PQR)}}

h_1/h_2=√{25/36}=5/6

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