10. Connecting Algebra and Geometry through Coordinates
United States of America
Grades 9-12
10.01 Distance and the coordinate plane
Adaptive
Worksheet
Interactive practice questions
Consider the triangle shown below.
Loading Graph...
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 the Pythagorean theorem to complete the following:
Easy
1min
The points $P$P $\left(-3,5\right)$(−3,5), $Q$Q $\left(-3,2\right)$(−3,2) and $R$R $\left(1,2\right)$(1,2) are the vertices of a right triangle, as shown on the number plane.
Medium
4min
The points $P$P $\left(-4,10\right)$(−4,10), $Q$Q $\left(-4,7\right)$(−4,7) and $R$R $\left(-8,7\right)$(−8,7) are the vertices of a right triangle, as shown on the number plane.
Medium
4min
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