Question

Prove that the triangle with vertices D(-,3), E(1,6), and F(2,4) is an isosceles right triangle.

Answer 1

What the coordinate for D?

Answer 2

(0,3)

Answer 3

use the distance formula to find the length of EF and DF.

Answer 4

I just need to prove how to do it.

Answer 5

okay.. well once you find out that both sides are equal...

Answer 6

you find the length of the third side.

Answer 7

then plug the values into pythagorean theorem

Answer 8

DE should be the hypotenuse.

Answer 9

if the values make sense, and both sides equal each other, then the triangle has to be a right triangle.

Answer 10

And since only two sides are congruent, is must be isoceles.

Answer 11

So, thus you can prove it's an isosceles right triangle.

Answer 12

\[distance=\sqrt{(x _{1}-x _{2})^2+(y _{1}-y _{2})^2}\]

Answer 13

\[a^2+b^2=c^2\]

^pythagorean theorem

Answer 14

:) hope that helps