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: