SOLUTION: Two triangles are similar. The ratio of their areas is 1:4. If the height of the smaller triangle is 3 cm, how long is the corresponding height of the larger triangle, in centimete

Algebra ->  Triangles -> SOLUTION: Two triangles are similar. The ratio of their areas is 1:4. If the height of the smaller triangle is 3 cm, how long is the corresponding height of the larger triangle, in centimete      Log On


   

Question 203614: Two triangles are similar. The ratio of their areas is 1:4. If the height of the smaller triangle is 3 cm, how long is the corresponding height of the larger triangle, in centimeters?
Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
The ratio of the areas is given as 1:4.
Taking its square root, 1:2, this is the ratio of the corresponding sides of the triangles.
Since the smaller triangle has side 3 cm, the corresponding side on the larger triangle has length=2(3 cm)=6 cm