![]() mutate) Some change that occurs to a gene in an organism’s DNA. ![]() People who work in this field are geneticists. The field of science dealing with these biological instructions is known as genetics. Genetic: Having to do with chromosomes, DNA and the genes contained within DNA. Each degree equals one three-hundred-and-sixtieth of the circumference of a circle. People who work in this field are called astronomers.ĭegree: (in geometry) A unit of measurement for angles. It’s hard for humans to live in the thin air at high altitudes - but a specific genetic mutation may have helped people survive high on the Tibetan Plateau.Ĭheck out the full list of Scientists Say.Īir pressure: The force exerted by the weight of air molecules.Īngle: The space (usually measured in degrees) between two intersecting lines or surfaces at or close to the point where they meet.Īstronomy: The area of science that deals with celestial objects, space and the physical universe. If the star is exactly overhead, its altitude is 90 degrees. For instance, if a star is right on the horizon, its altitude is 0 degrees. In this case, the word describes the angle between the horizon and some object in the sky. TemmingĪltitude has a third definition in astronomy. The altitude of a triangle is a line that runs from one point to the opposite side, meeting that side at a right angle. That height is found by drawing a line from one point on the triangle to the opposite side, such that the line meets that side at a right angle. Here, the word refers to the height of a triangle. The second use of “altitude” appears in geometry. But sometimes hikers climbing up mountains get sick as they go farther and farther up. ![]() People on planes tend not to get altitude sickness because the air inside an airplane has plenty of oxygen. This is due to the lower oxygen levels found high up. Mild symptoms include nausea and light-headedness. If you travel to a high altitude fast, you might get altitude sickness. Altitude can also be used to describe heights on other planets. And if you’re at the top of a mountain, you will be at a higher altitude than when you’re next to the ocean. Planes, for instance, fly at an altitude of several kilometers (miles). First, it can refer to how high something is above sea level on Earth. You do this with the formula y = mx + b, where m is the slope of the line, and b is the y-intercept.The word “altitude” has a few different meanings. Here we have a coordinate grid with a triangle snapped to grid points: How to find the orthocenter of a triangle - example triangleįind the equations of lines forming sides MR and RE. How to find the orthocenter of a triangle The Euler line is named after it's discoverer, Leonhard Euler. These three points will always lie on the same straight line, which is called the Euler line. Orthocenter – The orthocenter lies at the intersection of the altitudes.Īll four of the centers above occur at the same point for an equilateral triangle.Īnother interesting fact is that the orthocenter, centroid, and circumcenter of any triangle are collinear. This will occur inside acute triangles, outside obtuse triangles, and for right triangles, it will occur at the midpoint of the hypotenuse.Ĭentroid – The centroid, or a triangle's center of gravity point, is located where all three medians intersect. Incenter – The incenter of a triangle is located where all three angle bisectors intersect.Ĭircumcenter – The circumcenter is located at the intersection of the perpendicular bisectors of all sides. In addition to the orthocenter, there are three other types of triangle centers: It doesn't matter if you are dealing with an acute triangle, obtuse triangle, or a right triangle, all of these have sides, altitudes, and an orthocenter. Orthocenter – The intersection of the three altitudes. Because the segment from the interior angle to the opposite side is perpendicular, an altitude of a triangle will always form a right angle with the side to which it is perpendicular. Sides – Three sides intersecting at vertices, forming three interior anglesĪltitudes – The line segment from each vertex of the triangle to the opposite side (or extension of the opposite side) that is perpendicular to that opposite side. Those may sound like four easy steps, but embedded within them is the knowledge to find two equations:Ī triangle, the simplest polygon with only three straight line segments forming its sides, has several interesting parts: Solve the corresponding x and y values, giving you the coordinates of the orthocenter ![]() Use the slopes and the opposite vertices to find the equations of the two altitudes You can find where two altitudes of a triangle intersect using these four steps:įind the equations of two line segments forming sides of the triangleįind the slopes of the altitudes for those two sides
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