![]() ![]() What is the area of this yard?įrom this information, it’s easy enough to deduce that the leg length is 10, and we can draw a diagram that looks roughly like this:įrom there, we can easily calculate the area, which is base*height / 2, or in this case 10*10/2 = 50. ![]() This will help you avoid trouble if the GMAT happens to give you a problem that doesn’t conform to expectations.įor example, the following problem fits expectations quite nicely:Ī yard in the shape of an isosceles right triangle has a hypotenuse of length 10√2. It may seem obvious, but it presents an important point: what’s more important than simply memorizing the ratio is understanding the mathematical relationship between the side lengths. For example, if the leg lengths were 3 instead of 1, then the hypotenuse would be 3√2 instead of simply √2.īut likewise, don’t forget that you can go backwards and divide the hypotenuse length by √2 to get to the leg length. Know that term, as it could appear by name in a question.Īs shown in the above diagram, the side lengths of this triangle always fit the same ratio (1 : 1 : √2), where the legs are the same length and the hypotenuse length is √2 times the leg length. ![]() Date: 6th January, 2021 45-45-90 Right TriangleĪnother of the commonly tested triangles on the GMAT is the 45-45-90, also known as the isosceles right triangle. ![]()
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