Shale Gas Reporter. 13 new permits were issued in Ohio last month, and 81 permits were issued in Pennsylvania. 13 new horizontal drilling permits were issued for the Utica or Point Pleasant shale in Ohio last month, but no new permits were issued for Ohio's Marcellus shale.
The 3-4-5 Triangle. It is perhaps surprising that there are some right-angled triangles where all three sides are whole numbers called Pythagorean Triangles. The three whole number side-lengths are called a Pythagorean triple or triad. An example is a = 3, b = 4 and h = 5, called the 3-4-5 triangle. We can check it as follows: 3 2 +4 2 = 9 + 16 = 25 = 5 2 so a2 + b2 = h2. This triple was known to the Babylonians (who lived in the area of present-day Iraq and Iran) even as long as 5000 years ago! Perhaps they used it to make a right-angled triangle so they could make true right-angles when constructing buildings-we do not know for certain.
The Pythagorean theorem states that: In any right triangle, the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the two legs (the two sides that meet at a right angle). right triangle (American English) or right-angled triangle (British English) is a triangle in which one angle is a right angle (that is, a 90- degree angle). The relation between the sides and angles of a right triangle is the basis for trigonometry.