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What is the distance of (7,8) and (9,0)

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We need to find the distance between the following points:

(7, 8) and (9,0)

Step 1: label the coordinates

we define our x and y coordinates according to the given points as follows:


\begin{gathered} x_1=7 \\ y_1=8 \\ x_2=9 \\ y_2=0 \end{gathered}

Step 2: Use the Pythagorean theorem as follows to find the distance "d".


d=√((x_1-x_2)^2+(y_1-y_2)^2)

Step 3: Substituting our values


\begin{gathered} d=√((7-9)^2+(8-0)^2) \\ d=√((-2)^2+8^2) \\ d=√(4+64) \\ d=√(68) \end{gathered}

Step 4: simplify the square root

since 68=4x17:


d=√(68)=√(4*17)=2√(17)

Answer:


2√(17)=8.246

User Roimer
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