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Three unit squares and two lines are shown. What is the area of triangle ABC?

 

 May 26, 2020
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Three unit squares and two lines are shown. What is the area of triangle ABC?

 

Hello Guest!

 

The coordinate origin is in point A.

 

\(\color{blue}y=-0.5x\\ \color{blue}y=2x-2\\ 2x-2=-0.5x\\ 2.5x=2\)

\(x=\frac{4}{5}\)

\(y=-0.5\cdot \frac{4}{5}\)

\(y=-\frac{2}{5}\)

 

Triangle ABC

\(A=\frac{1}{2}\cdot 1\cdot\frac{2}{5}\)

\(A=\frac{1}{5}\)

 

The area of triangle ABC is \(\dfrac{1}{5}.\)

laugh  !

 May 26, 2020
edited by asinus  May 26, 2020

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