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According to ScienceAlert
That damn pink triangle.
Yet another viral math equation is taking over Twitter, with many users struggling to figure out how to make sense of it.
Ed Southall, author of “Geometry Snacks,” shared a photo of a pink triangle inside of a square and challenged people to figure out how much of the square is shaded pink.
Some people gave up immediately.
But other users rose to the challenge.
According to Business Insider’s quant reporter Andy Kiersz, the key to solving the problem is the height of the pink triangle.
The area of a triangle is 1/2 (base x height). If we assume that the square is a 1 x 1 unit, we can see that the base of the pink triangle is 1, the length of the square. All we need to figure out is the height.
“The key trick is that the little triangle up top is similar to the pink triangle, which means that the little triangle is just a smaller version of the pink triangle,” Kiersz said.
“A property of similar triangles is that the ratio of the triangles’ heights will be the same as the ratio of their bases. Since the pink triangle’s base is twice the little triangle’s base, its height is also twice the little triangle’s height. But we know that the little triangle’s height plus the pink triangle’s height is 1, so that means the pink triangle’s height is 2/3. Plug that on in and we get our area = 1/2 x base x height = 1/2 x 1 x 2/3 = 1/3.”
Southall confirmed to INSIDER that the answer is indeed 1/3. Congratulations if you managed to solve it!
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