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10.01 Distance and the coordinate plane

Adaptive
Worksheet

Interactive practice questions

Consider the triangle shown below.

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a

Complete the steps which calculate the length $AC$AC:

$AC^2=AB^2+BC^2$AC2=AB2+BC2

$AC^2=$AC2=$\left(\editable{}\right)^2+\left(\editable{}\right)^2$()2+()2

$AC^2=$AC2=$\editable{}+\editable{}$+

$AC^2=$AC2=$\editable{}$

b

Hence find the exact length of $AC$AC.

Easy
1min

Use the triangle and Pythagoras' theorem to complete the following:

Easy
2min

The points $P$P $\left(-6,5\right)$(6,5), $Q$Q $\left(-6,2\right)$(6,2) and $R$R $\left(-2,2\right)$(2,2) are the vertices of a right triangle, as shown on the number plane.

Medium
2min

The points $P$P $\left(-1,9\right)$(1,9), $Q$Q $\left(-1,6\right)$(1,6) and $R$R $\left(-5,6\right)$(5,6) are the vertices of a right triangle, as shown on the number plane.

Medium
1min
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Outcomes

G.GPE.B.7

Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g. Using the distance formula.

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