Linear Equations II
Hong Kong
Stage 1 - Stage 3
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
Use Pythagoras’ theorem to find the exact length of interval $AB$AB, drawn on the number plane below.
Hard
2min
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