Question

Use the distance formula to determine what type of triangle DEF is if it has coordinates D(2, 1), E(3,5), and F(6,2).

a.) What is the length of DE?

b.) What is the length of EF?

c.) What is the length of DF?

d.) List your answers for the above lengths of the sides, then name what type of triangle is DEF?

Answer 1

Explanation:

Formula :

`\sf \boxed{\sf D=√((x_1-x_2)^2+(y_1-y_2)^2)}`

Then :

`\sf DE=√((2-3)^2+(1-5)^2) }= √(17) \\\\ EF=√((3-6)^2+(5-2)^2) =√(18) \\\\DF=√((2-6)^2+(1-2)^2)= √(17)`

Since
`\sf DE=DF` DEF isosceles triangle