SOLUTION: A right triangle has legs 15 inches and 12 inches. Every dimension is multiplied by 1/3 to form a new right triangle with legs 5 inches and 4 inches. How is the ratio of the areas

Question 106100: A right triangle has legs 15 inches and 12 inches. Every dimension is multiplied by 1/3 to form a new right triangle with legs 5 inches and 4 inches. How is the ratio of the areas related to the ratio of corresponding sides?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A right triangle has legs 15 inches and 12 inches. Every dimension is multiplied by 1/3 to form a new right triangle with legs 5 inches and 4 inches. How is the ratio of the areas related to the ratio of corresponding sides?
:
Find the area of both triangles and see:
A1 = .5*15*12
A1 = 90 sq/in
:
A2 = .5*5*4
A2 = 10 sq/in
:
It looks like it's 9:1 ratio.
:
1/3 of both sides = 1/9 the area
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