Question

the coordinates of point z are (8, 3). the coordinates of point h are (10, 6). determine the length of segment zh. enter the coordinates of the two given points and then calculate the distance between them. coordinates (x1, y1) of point z: (?,?) coordinates (x2, y2) of point h: (?,?) d = \sqrt{(x2 - x1)^2+(y2 - y1)^2} d = \sqrt{( )^2+( )^2} d = the length of segment zh is feet

Explanation:

Step1: Identify coordinates

For point Z, $(x_1,y_1)=(8,3)$; for point H, $(x_2,y_2)=(10,6)$.

Step2: Substitute into distance formula

$d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}=\sqrt{(10 - 8)^2+(6 - 3)^2}$
$=\sqrt{(2)^2+(3)^2}$

Step3: Calculate values inside square - root

$(2)^2=4$, $(3)^2 = 9$, so $d=\sqrt{4 + 9}=\sqrt{13}$

Answer:

$\sqrt{13}$