440,799 views
35 votes
35 votes
DEF is shown on the coordinate plane below.

D(-9,8)
E(9,5)
F(-5,-9)
What is the perimeter of DEF? If necessary, round your answer to the nearest tenth.

User Mojtaba Ahmadi
by
3.1k points

1 Answer

17 votes
17 votes

Answer:

55.5

Explanation:


DE=√((-9-9)^2+(8-5)^2)=√(333) \\ \\ DF=√((-9-(-5))^2+(-9-8)^2)=√(305) \\ \\ EF=√((-5-9)^2+(-9-5)^2)=√(392)

The perimeter is thus
√(333)+√(305)+√(392) \approx 55.5.

User AaronDT
by
2.5k points