![]() This point of intersection is called as the circumcenter. This is the purpose of knowing the perpendicular bisectors. The three perpendicular bisectors are found out in a bid to find out the intersection point of the center of the circumscribing circle of the triangle. It is interesting to note that vertex has to be taken into account in the case of finding the altitude whereas midpoint of the side is to be taken into consideration while finding the perpendicular bisector. This is the main difference between altitude and perpendicular bisector. Perpendicular bisector of a triangle is a perpendicular that crosses through midpoint of the side of the triangle. Perpendicular bisector has an altogether different definition. If the area of the given triangle is A, then the various altitudes of the triangle can be found out by using the formulas, namely, h A =2A/a, h B = 2A/b and h C = 2A/c This can be done if you know the area of the given triangle. If a, b and c sides of a triangle then you can solve on of the angles using the Cosine Law and you can also solve the altitude of the triangle by the formula of functions of a right triangle. It is interesting to note that there are separate formulas to solve the altitudes. This common point is called as orthocenter. The altitudes of the triangle will intersect at a common point. Altitude is a line from vertex perpendicular to the opposite side. They are not one and the same in definition. The difference are extremely small for practical purposes this can be ignored in most fields and orthometric height is usually said to be the same as geometric height.Altitude and Perpendicular Bisector are two Geometrical terms that should be understood with some difference. In the real world however, the orthometric height (measured along the curve of the plumb line) is thus not equal to the geometric height (which measures along a straight line). Therefore the plumb line in the ISA model is straight. Within the ISA model, orthometric height and geometric height are the same, because the model assumes the earth is uniform, spherical and non-rotating. ![]() Due to rotation of the earth and gravitational anomalies due to an irregular mass distribution in the earth, the plumb line curves. The plumb line however, is not a straight line. ![]() Image source: ScienceDirect: Evaluation of the various orthometric height systems and the Nigerian scenario – A case study of Lagos State The orthometric height of a point is the distance H along a plumb line from the point to a reference height (typically the mean sea level). With $r = 6356766m$ the radius of the nominal (spherical) earth. ![]() This $g_0 = 9.80665$ m/s 2 is used to convert between geopotential height $H$ to geometric height $h$.įor this purpose the ISA model assumes a non-rotating earth with uniform mass distribution, so that only Newton's gravitation law can be used to obtain the relation between $H$ and $h$: ![]() It furthermore assumes a standard acceleration due to gravity, conforming to a latitude of 45.32'33". The reference height (0 meters) of the model is the mean sea level. The ISA model uses a hydrostatic equation to calculate the pressure differential over a geopotential height difference. 7488, the geometric height is equivalent to the orthometric height. In the ICAO Standard Atmosphere model, as described in ICAO Doc. ![]()
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