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In square units, what is the area of the gray triangle?

 Feb 11, 2021
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There are many methods to solve this problem, but the method I'm using today is the one shown below. As you can see, drawing a rectangle around the perimeter of the triangle highlights 3 smaller triangles that we can use to help solve the problem. First, we find the area of the rectangle, which is 4x6=24 sq units. Next, we find the area of triangles A, B, and C, which are 3x2/2=3 sq units, 3x4/2=6 sq units, and 6x2/2=6 sq units, respectively. Now we can subtract the areas of those triangles from the area of the rectangle, 24-6-6-3=9 sq units, giving us the final answer: 9 sq units. Hopefully, this helps! - BasicMaths

 

"Mathematics is not about numbers, equations, computations, or algorithms: it is about understanding." - William Paul Thurston

 Feb 11, 2021

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