The triangles are similar. The area of the larger triangle is 888 feet squared. Find the area
of the smaller triangle. all I know is that on the small triangle it has one side as 25ft and on the big triangle it has 30ft
Since the triangles are similar, the ratio of their respective side lengths will be the same as the ratio of their areas squared.
Let x be the area of the smaller triangle.
The ratio of the side lengths of the two triangles is 25/30 = 5/6.
Therefore, the ratio of their areas will be (5/6)^2 = 25/36.
So we can set up the following equation:
x / 888 = 25 / 36
x = (25/36) * 888
x = 25 * 24.67
x = 616.75 ft squared.
Therefore, the area of the smaller triangle is 616.75 square feet.