Question

Two isoscles have equal angles and their areas are in the ratio 81:25. Find the ratio of their corresponding heights .

Answer 1

SINCE TWO ISOSceles triangles have equal angles 
=> THEY ARE SIMILAR 
AREA OF 1ST / AREA OF 2ND  = 
(HEIGHT OF 1ST) 2  / ( HEIGHT OF 2ND )2
 
THERFORE  81 /25  = (HEIGHT OF 1ST) 2 / ( HEIGHT OF 2ND )2
=  9/ 5
therefore the ration will be 9/5 (or)
9:5