Find the perimeter of the triangle with vertices D (3, 4), E (8, 7), and F (5, 9). Do not round before calculating the perimeter. After calculating the perimeter, round your answer to the nearest tenth.

14.6 to the nearest tenth.

Step-by-step explanation:

Length of DE = √ ([ 7-4) ^2 + (8-3 (^2] = √ (34)

Length of EF = √ ([ 9-7) ^2 + (5-8) ^2] = √ (13)

Length of FD = √ ([ 9-4) ^2 + (5-3) ^2] = √ (27)

So the perimeter = √ (34) + √ (13) + √ (27)

= 14.63

= 14.6 to the nearest tenth.