Iwill mark the
2. the scale factor t is 3/5 for similar triangles abc and def. the area of the smaller triangle def is 576 in². determine each of the following, showing all your work and reasoning.
a.) ratio of the areas of the triangles.
b.) area of triangle abc.

To answer this question, you need to know that a scale factor is the relationship between one dimension of the shape.  

Because the information given to us is a two-dimensional measurement, you will need to consider that when getting the answer.

The ratios of the areas of the  triangles is 3/5 x 3/5 or 9/25.

To determine the area of the larger triangle, you will solve the following equation using the information you know.  x is the area of the larger triangle.

9/25x = 576; solve for x by dividing both sides by 9/25
x = 1600 square inches

The area of the larger triangle is 1600 square inches.