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Distances on the Plane (using Pythag)

Interactive practice questions

The points $P$P $\left(-3,-1\right)$(3,1), $Q$Q $\left(-3,-4\right)$(3,4) and $R$R $\left(2,-4\right)$(2,4) are the vertices of a right-angled triangle, as shown on the number plane.

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a

Find the length of interval $PQ$PQ.

b

Find the length of interval $QR$QR.

c

If the length of $PR$PR is denoted by $c$c, use Pythagoras’ theorem to find the value of $c$c to three decimal places.

Easy
3min

How far is the given point $P$P$\left(-5,-12\right)$(5,12) from the origin?

Medium
1min

Which of the following is the formula for finding the distance between two points $\left(x_1,y_1\right)$(x1,y1)and $\left(x_2,y_2\right)$(x2,y2)?

Medium
< 1min

Consider the interval $AB$AB that has been graphed on the number plane.

Hard
2min
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