Two isosceles Triangles have equal vertical angles and their areas are in the ratio 16:36. Find the ratio of their corresponding heights .
Select
A) 4/6
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=16/36 --&gt; height/HEIGHT=4/6.   4/6nswer: 4/6.
<result>A</result>
Two isosceles Triangles have equal vertical angles and their areas are in the ratio 16:36. Find the ratio of their corresponding heights .