MediumMathematicsHigh School (9–10)GeneralCoordinate Geometry › Distance, Midpoint and Section FormulaeNumerical

The distance between (x, 5) and (2, -1) is 10 units. Find x.

Try it on paper first. A hint, the key idea and the worked solution are here when you need them.

The distance between $(x, 5)$ and $(2, -1)$ is $10$ units. Find $x$ .

Need a reminder? The key ideaShow

The distance between $(x_1, y_1)$ and $(x_2, y_2)$ is $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ . From the origin it is $\sqrt{x^2 + y^2}$ .

The worked solution

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Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.

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