INPUT ARTICLE: Article: The side lengths of a Pythagorean triple are integers that fit the Pythagorean Theorem. These special triangles appear frequently in geometry text books and on standardized tests like the SAT and the GRE.  If you memorize the first 2 Pythagorean triples, in particular, you can save yourself a lot of time on these tests because you can immediately know the hypotenuse of one of these triangles just by looking at the side lengths!   The first Pythagorean triple is 3-4-5 (32 + 42 = 52, 9 + 16 = 25).  When you see a right triangle with legs of length 3 and 4, you can instantly be certain that the hypotenuse will be 5 without having to do any calculations. The ratio of a Pythagorean triple holds true even when the sides are multiplied by another number.  For example a right triangle with legs of length 6 and 8 will have a hypotenuse of 10 (62 + 82 = 102, 36 + 64 = 100).  The same holds true for 9-12-15, and even 1.5-2-2.5.  Try the math and see for yourself! The second Pythagorean triple that commonly appears on tests is 5-12-13 (52 + 122 = 132, 25 + 144 = 169).  Also be on the lookout for multiples like 10-24-26 and 2.5-6-6.5. A 45-45-90 right triangle has angles of 45, 45, and 90 degrees, and is also called an Isosceles Right Triangle.  It occurs frequently on standardized tests, and is a very easy triangle to solve.  The ratio between the sides of this triangle is 1:1:Sqrt(2), which means that the length of the legs are equal, and the length of the hypotenuse is simply the leg length multiplied by the square root of two.  To calculate the hypotenuse of this triangle based on the length of one of the legs, simply multiply the leg length by Sqrt(2). Knowing this ratio comes in especially handy when your test or homework question gives you the side lengths in terms of variables instead of integers. This triangle has angle measurements of 30, 60, and 90 degrees, and occurs when you cut an equilateral triangle in half.  The sides of the 30-60-90 right triangle always maintain the ratio 1:Sqrt(3):2, or x:Sqrt(3)x:2x.  If you are given the length of one leg of 30-60-90 right triangle and are asked to find the hypotenuse, it is very easy to do:  If you are given the length of the shortest leg (opposite the 30-degree angle,) simply multiply the leg length by 2 to find the length of the hypotenuse.  For instance, if the length of the shortest leg is 4, you know that the hypotenuse length must be 8. If you are given the length of the longer leg (opposite the 60-degree angle,) multiply that length by 2/Sqrt(3) to find the length of the hypotenuse.  For instance, if the length of the longer leg is 4, you know that the hypotenuse length must be 4.62.

SUMMARY: Learn to recognize Pythagorean Triple Triangles. Memorize the side ratios of a 45-45-90 right triangle. Learn the side ratios of a 30-60-90 right triangle.


INPUT ARTICLE: Article: The present indicative is almost always the first verb form you will learn when studying Spanish. It is used to talk about current actions. In the case of leer, the present indicative is used to refer to the act of reading when that act is presently going on.  Example: "She is reading the novel," Ella lee la novela.  yo: leo  tú: lees él/ella/usted: lee nosotros/-as: leemos vosotros/-as: leéis ellos/ellas/ustedes: leen Use the preterit indicative to refer to the act of reading when that act has concretely happened in the past and has since come to a clear end and is no longer being performed.  The verb leer is irregular in the preterit indicative. Example: "I read that novel last month," Lei esa novela el mes pasado.  yo: leí tú: leíste él/ella/usted: leyó nosotros/-as: leímos vosotros/-as: leísteis ellos/ellas/ustedes: leyeron The conditional indicative is used to describe an act of reading that would be done at some point in the future as long as another condition or circumstance ends up being true.  Example: "In that case, Pablo would read Hemingway's novel," En ese caso, Pablo leería la novela de Hemingway.  yo: leería tú: leerías él/ella/usted: leería nosotros/-as: leeríamos vosotros/-as: leeríais ellos/ellas/ustedes: leerían

SUMMARY: Use the present indicative. Conjugate leer in the preterit indicative. Switch to the conditional indicative.


INPUT ARTICLE: Article: In order to transform a skirt into a halter top, the garment must meet certain standards. The skirt must fit over your ribcage. The garment must also have side seams—one side seam will become your center seam. Lastly, the skirt your purchase or recycle for this project should be flowy or a-line. Slide the skirt under your arms. Turn the the skirt so that one of the side seams runs down the center of your chest. One strap will be attached to each side of the front seam. If the skirt has a side zipper, feature this detail by making it your front seam.    {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/4\/44\/Make-a-Halter-Top-Step-17Bullet1.jpg\/v4-460px-Make-a-Halter-Top-Step-17Bullet1.jpg","bigUrl":"\/images\/thumb\/4\/44\/Make-a-Halter-Top-Step-17Bullet1.jpg\/aid153198-v4-728px-Make-a-Halter-Top-Step-17Bullet1.jpg","smallWidth":460,"smallHeight":345,"bigWidth":"728","bigHeight":"546","licensing":"<div class=\"mw-parser-output\"><p>License: <a rel=\"nofollow\" class=\"external text\" href=\"https:\/\/creativecommons.org\/licenses\/by-nc-sa\/3.0\/\">Creative Commons<\/a><br>\n<\/p><p><br \/>\n<\/p><\/div>"} Unravel your ribbon on a flat surface. Measure and cut two lengths of ribbon approximately 1 foot each. Pin the end of one ribbon to the inside of the skirt just right of the center seam. Pin the end of the second ribbon to the inside of the skirt just left of the center seam. Thread a needle and attach each ribbon to the skirt with top stitches. Step into the skirt and pull it up to your chest. Turn the skirt so that the side seam with the ribbons attached on either side is in front. Tie the ribbons behind your neck.

SUMMARY: Selecting the right skirt. Envisioning the transformation. Cutting and attaching the straps. Tie the ribbons behind your neck.


INPUT ARTICLE: Article: Apply a known force to the material in both the stress and strain directions. Measure the dilation (dSs) that occurs in the material when stress only is applied. Measure the dilation (dSn) that occurs in the material when the external force applies only strain.

SUMMARY:
Measure the proportional fractional volume change (also known as dilation) of the material.