The areas of two similar triangles are 12 cm2 and 48SQ. cm .If the height of the smaller one is 2.1cm than the corresponding height of the bigger one is_________?

A. 0.525cm
B. 4.2cm
C. 80%
D. 60%

Explanation:

The area of two similar triangles is the ratio of the square of the corresponding heights.

Therefore , 12/48 = (2.1)2 /h2

=> h2 = 4 x (2.1)2

=> h=(2 x 2.1)=4.2 cm