Question

Find the distance between the following points using the pythagorean theorem (5,10) and (10,12)

Answer 1

\sqrt[29]

Step-by-step explanation:

Given the coordinate (5,10) and (10, 12). The formula for calculating the distance between two points is expressed as;

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

Given that;

x1 = 5

y1 = 10

x2 = 10

y2 = 12

Substitute:

`\begin{gathered} D\text{ = }\sqrt[]{(10-5)^2+(12-10)^2} \\ D=\text{ }\sqrt[]{5^2+2^2} \\ D\text{ =}\sqrt[]{25+4} \\ D\text{ =}\sqrt[]{29} \end{gathered}`

Hence the distance between the points is \sqrt[29]