2005 iTest Problems/Problem 9

Problem

Find the area of the triangle with vertices of $(1,2)$ , $(1,10)$ , and $(5, 5)$ .

Solution 1

Since $(1,2)$ and $(1,10)$ are collinear, let that be the base. It therefore has length 8. The distance from $(5, 5)$ to this line is the same as the distance from $(5,5)$ to $(1,5)$ , which is equal to 4. The area of this triangle is $\frac{8\cdot4}{2}=\boxed{16}$ .

2005 iTest (Problems, Answer Key)
Preceded by: Problem 8	Followed by: Problem 10
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2005 iTest Problems/Problem 9

Problem

Solution 1

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