Q6 of 168 Page 4

Two isosceles triangles have equal angles and their areas are in the ratio 16 : 25. The ratio of their corresponding heights is

Given two isosceles triangles have equal angles and their areas are in the ratio 16 : 25.



We know that SAS similarity criterion states that if one angle of a triangle is equal to one angle of the other triangle and the sides including these angles are proportional, then the two triangles are similar.


In ΔABC and ΔDEF,


if and ∠A = ∠D, then ΔABC ~ ΔDEF


We know that the ratio of areas of two similar triangles is equal to the ratio of the squares of their corresponding altitudes.





∴ AG: DH = 4: 5

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