Question

Find the perimeter of the triangle with vertices D(5, 6), E (10, 9), and F(7, 11). Do not

round before calculating the perimeter. After calculating the perimeter, round your


answer to the nearest tenth.


The perimeter is


units.

Answer 1

Perimeter of triangle = 14.82 approx.

Explanation:

Given:

D(5, 6)

E (10, 9)

F(7, 11)

Find:

Perimeter of triangle

Computation:

Distance = √(x1-x2)² + (y1-y2)²

Perimeter of triangle = DE + EF + FD

Perimeter of triangle = √(5-10)² + (6-9)² + √(10-7)² + (9-11)² + √(7-5)² + (11-6)²

Perimeter of triangle = √25 + 9 + √9 + 4 + √4 + 25

Perimeter of triangle = √34 + √13 + √29

Perimeter of triangle = 5.83 + 3.6 + 5.3851

Perimeter of triangle = 14.8151

Perimeter of triangle = 14.82 approx.