Question

Find the perimeter of DEF. Round to the nearest tenth if necessary D(-5,2), E(4,6), F(2,-3)

Answer 1

27.7 units

Explanation:

The distance between points
`(x_1,y_1)` and
`(x_2,y_2)` can be calculated using formula

`√((x_1-x_2)^2+(y_1-y_2)^2)`

Find the lengths of the sides of DEF using previous formula:

`DE=√((-5-4)^2+(2-6)^2)=√(81+16)=√(97)\approx 9.85\ units\\ \\EF=√((4-2)^2+(6-(-3))^2)=√(4+81)=√(85)\approx 9.22\ units\\ \\DF=√((-5-2)^2+(2-(-3))^2)=√(49+25)=√(74)\approx 8.60\ units`

Hence, the perimeter is

`P_(FED)=9.85+9.22+8.60=27.67\approx 27.7\ units`