Question

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

Answer 1

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.