SOLUTION: A triangle has a side length of 3 inches and an area of 22 square inches. A similar triangle has a corresponding side length of 6 sinches. Find the area of the larger triangle.

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Question 1078749: A triangle has a side length of 3 inches and an area of 22 square inches. A similar triangle has a corresponding side length of 6 sinches. Find the area of the larger triangle.

Found 2 solutions by Boreal, MathTherapy:
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
When the side is doubled, the area increases 4 fold; 88 in^2.
The suppose the side is the base. The height is 14 2/3, because (1/2)3*44/3=22
Now make that side 6. The height is doubled as well (similar triangles) to 29 1/3
(1/2)*6*(88/3)=88

Answer by MathTherapy(10553)   (Show Source): You can put this solution on YOUR website!

A triangle has a side length of 3 inches and an area of 22 square inches. A similar triangle has a corresponding side length of 6 sinches. Find the area of the larger triangle.
The ratio of the corresponding sides of 2 similar TRIANGLES is equal to the square root of the ratio of their areas.
Ratio of one of smaller triangle's sides to corresponding side of larger triangle:
Let the area of the larger triangle be A
With the area of the smaller triangle being 22 sq inches, we get:
------- Reducing
------- Squaring both sides

Cross-multiplying, we get the area of larger triangle, or:
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