Triangle ATriangle B are similar triangles with areas 1536 units square and 2166 units square respectively. The ratio of there corresponding height would be  Choose the correct choice from the following choices:
A) 9 : 10
B) 17 : 19
C) 23 : 27
D) 13 : 17
E) 16 : 19

Rationale: let x be the height of triangle a and y be the height of triangle of b . since triangles are similar , ratio of area of a and b is in the ratio of x ^ 2 / y ^ 2 therefore , ( x ^ 2 / y ^ 2 ) = 1536 / 2166 ( x ^ 2 / y ^ 2 ) = ( 16 * 16 * 6 ) / ( 19 * 19 * 6 ) ( x ^ 2 / y ^ 2 ) = 17 ^ 2 / 19 ^ 2 x / y = 16 / 19 ans = e
Answer: E