Question

The vertices of are D(7, 3), E(4, -3), and F(10, -3). Write a paragraph proof to prove that is isosceles.

Answer 1

See explanation

Explanation:

Distance Formula:
`d = √((x2 - x1)^2+(y2-y1)^2)`

Isosceles Triangle: 2 sides are the same

`d = √((4 - 7)^2+(-3-3)^2) = 3√(5)`

`d = √((10-4)^2+(-3+3)^2) = 6`

`d = √((10-7)^2+(-3-3)^2) = 3√(5)`

Since we have 2 distances between the vertices the same, we have an isosceles triangle.