two triangles used in an art project are similar. the sides of the similar triangle have lengths of 6 in 7 in and 12 in. the perimeter of the larger triangle is 75 in. what is the length of the shortest side of the larger triangle

Answer 1

To find the lengths of the sides of the larger triangle, we need to set up a proportion between the corresponding sides of the two similar triangles.

Let x be the length of the shortest side of the larger triangle.

Using the proportion of corresponding sides:
6 / x = 12 / 7

Cross multiplying:
6 * 7 = 12 * x
42 = 12x
x = 42 / 12
x = 3.5

Therefore, the length of the shortest side of the larger triangle is 3.5 inches.