Ontario 10 Academic (MPM2D)
Distances on the plane (using Pythagorean Thm)

## Interactive practice questions

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

a

Complete the equations:

$AC^2=9$AC2=9 $+$+ $\editable{}$

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

b

Hence find the length of $AC$AC in simplest radical form.

Easy
Approx 2 minutes

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

Consider the interval $AB$AB on the graph.

How far is the given point $P$P$\left(-15,8\right)$(15,8) from the origin?

### Outcomes

#### 10D.AG2.02

Develop the formula for the length of a line segment, and use this formula to solve problems