Question

What type of triangle is formed by joining the points D(7, 3), E(8, 1), and

F(4, -1)?
A.
equilateral triangle
B.
isosceles triangle
C.
right triangle
D.
acute scalene triangle
E.
obtuse scalene triangle

Answer 1

Since we have a right triangle with hypotenuse DF.

I got it right

Answer 2

D(7, 3), E(8, 1), and F(4, -1)

We calculate the squared distances between the points:

`DE^2 = 1^2 + 2^2 = 5`

`EF^2=4^2+2^2=20`

`DF^2=3^2+4^2=25`

Since
`DF^2=DE^2+EF^2` we have a right triangle with hypotenuse DF.