Two triangles used in an art project are similar the sides of the smaller triangle have lengths of six seven and 12 in the perimeter of the larger triangle is 75 in what is the length of the shortest side of the larger triangle
Since the triangles are similar, their corresponding sides are proportional.
Let's denote the length of the shortest side of the larger triangle as x.
From the given information, we know that the length of the shortest side of the smaller triangle is 6.
Using the concept of proportional sides, we can set up the following ratio:
x/6 = (x+7)/12
To solve for x, we cross multiply and simplify the equation:
12x = 6(x+7)
12x = 6x + 42
6x = 42
x = 7
Therefore, the length of the shortest side of the larger triangle is 7 inches.