Question

points forming the hypotenuse. using the sides, find the distance between (7, 1) and (9, 6) click twice to draw a line. click a segment to erase it.*

Explanation:

Step1: Identify the distance - formula

The distance formula between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\). Here, \(x_1 = 7,y_1 = 1,x_2 = 9,y_2 = 6\).

Step2: Calculate the differences

First, find \(x_2 - x_1\) and \(y_2 - y_1\). \(x_2 - x_1=9 - 7 = 2\) and \(y_2 - y_1=6 - 1 = 5\).

Step3: Square the differences

\((x_2 - x_1)^2=2^2 = 4\) and \((y_2 - y_1)^2=5^2 = 25\).

Step4: Sum the squared - differences

\((x_2 - x_1)^2+(y_2 - y_1)^2=4 + 25=29\).

Step5: Take the square - root

\(d=\sqrt{29}\).

Answer:

\(\sqrt{29}\)