Two isosceles Triangles have equal vertical angles and their areas are in the ratio 25:49.
Two isosceles Triangles have equal vertical angles and their areas are in the ratio 25:49. Find the ratio of their corresponding heights .
Answer/Solution
5/7
Steps/Work
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=25/49 --> height/HEIGHT=5/7.
Answer: D.
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=25/49 --> height/HEIGHT=5/7.
Answer: D.