Two isosceles Triangles have equal vertical angles and their areas are in the ratio 4:9. Find the ratio of their corresponding heights .
Choose the correct choice from the following
A) 4/5
B) 5/4
C) 3/2
D) 5/7
E) 2/3
We are basically given that the triangles are similar.   In two similar triangles, the ratio of their areas is the square of the ratio of their sides and also, the square of the ratio of their corresponding heights.   Therefore, area/AREA=height^2/HEIGHT^2=4/9--&gt; height/HEIGHT=2/3.   Answer: 2/3.
<result>E</result>
Two isosceles Triangles have equal vertical angles and their areas are in the ratio 4:9. Find the ratio of their corresponding heights .