Question

A triangle has sides 4(5)/(8) inches, 12(3)/(8) inches, and 5(1)/(8) inches. What is the perimeter (distance around the edges ) of the triangle in inches?

Answer 1

The perimeter of the triangle is calculated by adding together the lengths of its sides. After converting the mixed numbers to improper fractions and adding them up, the perimeter is found to be 22 1/8 inches.

Step-by-step explanation:

To calculate the perimeter of a triangle with sides measuring 45/8 inches, 123/8 inches, and 51/8 inches, we simply add all the side lengths together.

First, we express the mixed numbers as improper fractions:
45/8 inches = 37/8 inches,
123/8 inches = 99/8 inches,
51/8 inches = 41/8 inches.

Next, we add these improper fractions together:
37/8 + 99/8 + 41/8 = 177/8 inches.

Finally, we convert the improper fraction back to a mixed number to get the perimeter of the triangle:
177/8 inches = 221/8 inches.

The perimeter of the triangle is 221/8 inches.