Question

On the grid below, draw a right triangle with vertices at E (2,2), F(2,8), and G(10,8). Find the lengths of these three sides. If necessary, round to the nearest tenth

Answer 1

Answer:

The lengths of the sides are 6, 8 and 10.

Step-by-step explanation:

The vertices of a right angles triangle are E (2,2), F (2,8), and G (10,8)

The distance between the two points is

$d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

So, the lengths of the sides are

$EF=\sqrt{(8-2)^2+(2-2)^2} = 6 \\\\FG=\sqrt{(8-8)^2+(10-2)^2} = 8 \\\\GE=\sqrt{(8-2)^2+(10-2)^2} = 10$