the dimensions of the triangular lateral faces of a pyramid are dilated with a scale factor of 8/3 to create similar triangles. if the perimeter of one triangular face was 57 inches what is the perimeter of each of the dilated triangular faces
(perimeter of original face)/(dilated perimeter) = 8/3
substitute what you know and solve for dialated perimeter
To find the perimeter of the dilated triangular faces, we need to multiply the perimeter of the original triangular face by the scale factor.
Given that the scale factor is 8/3, we can calculate the perimeter of the dilated triangular faces by multiplying the original perimeter by 8/3.
Original perimeter = 57 inches
Scale factor = 8/3
Perimeter of each dilated triangular face = Original perimeter * Scale factor
Perimeter of each dilated triangular face = 57 inches * (8/3)
To simplify the expression, we can multiply the numerator (57) by 8 and divide the denominator (3) by 3:
Perimeter of each dilated triangular face = (57 * 8) / (3 * 1)
Perimeter of each dilated triangular face = 456 / 3
Perimeter of each dilated triangular face = 152 inches
Therefore, the perimeter of each of the dilated triangular faces is 152 inches.