Question

Line segment GH has a length of k units.Drag and drop a number or letter into each box to create an equation that can beused to determine k, the length in units of line segment GH. Each number orletter may be used once, more than once, or not at all.

Answer 1

To find the length GH, we will use the distance formula;

`|d|=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}`

The points are:

G(-2 , 2) and H(2, -3)

x₁ = -2 y₁ = 2 x₂ =2 y₂=-3

substitute the values into the formula

`|GH|=\sqrt[]{(2+2)^2+(-3-2)^2}`
`=\sqrt[]{4^2+(-5)^2}`
`GH=\sqrt[]{16+25}=\sqrt[]{41}`

So we can re-write this as;