Question

How long is this side of the triangle?10 inches9 inches8 inches7 inches5(-4,4)(4,4)321-4 -3 -2 -101234

Answer 1

8 inches (option C)

Explanation:

To find the side of the triangle, we would apply the distance formula:

$dis\tan ce\text{ = }\sqrt[]{(y_2-y_1)^2+(x_2-x_1)^2}$

The points: (-4, 4) and (4, 4):

$x_1=-4,y_1=4,x_2=4,y_2\text{ = }4$$\begin{gathered} \text{distance = }\sqrt[]{(4-4)^2+(4-(-4))^2} \\ \text{distance = }\sqrt[]{0^2+(4+4)^2} \\ \end{gathered}$$\begin{gathered} \text{distance = }\sqrt[]{0+8^2}\text{ = }\sqrt[]{0+64} \\ \text{distance = }\sqrt[]{64} \\ \text{distance }=\text{ 8 inches (option C)} \end{gathered}$