![]() ![]() If you don’t want to know anything about this topic that you don’t absolutely need for the GMAT, skip this section!.Which of the following are possible areas of the triangle?Ĭlick here for the answer and video explanation! Some “more than you need to know” caveats ![]() Two sides of a triangle have length 6 and 8. If the triangle is not a right triangle, you have absolute no responsibility for knowing how to find the height - it will always be given if you need it. You just need to know the basic geometry of triangles, including the formula: Yes, there is tons of math beyond this, and tons more you could know about triangles and their properties, but you are not responsible for any of that. The only exception would be a right triangle - in a right triangle, if one of the legs is the base, the other leg is the altitude, the height, so it’s particularly easy to find the area of right triangles. In practice, if the GMAT problem wants you to calculate the area of a triangle, they would have to give you the height. This is several levels of advanced stuff beyond the math you need to know. You are 100% NOT responsible for knowing how to perform these calculations. Given the lengths of three sides of a triangle, the only way one would be able to find a height and the area from the sides alone would involve trigonometry, which is well beyond the scope of the GMAT. The green line is the altitude, the “height”, and the side with the red perpendicular square on it is the “base.” All three sides of the triangle get a turn. In each of the diagrams above, the triangle ABC is the same. Suppose you need to know how to find the height of a triangle △ A B C given 3 sides, bh\). If you have a right triangle and are given two sides and would like to find the third, use the Pythagorean Theorem: \(a^2 b^2=c^2\). ![]()
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