In geometry, understanding the lengths of segments is essential for solving various problems related to angles, areas, and other geometric aspects. One such problem involves determining the length of segment GH, which connects two points G and H on a plane. Accurately determining the length of segment GH requires the use of geometric principles and formulas, and this article will explore the methods to calculate its length and round the result to the nearest hundredth of a centimeter.
Segment GH can be measured using the distance formula, which states that the distance between two points (x1, y1) and (x2, y2) is given by the formula d = √((x2 – x1)^2 + (y2 – y1)^2). To use this formula, we need to know the coordinates of points G and H. Once we have the coordinates, we can plug them into the formula and calculate the length of segment GH.
Alternatively, if segment GH is part of a triangle or other geometric figure, we can use the properties of that figure to calculate its length. For example, if segment GH is a side of a right triangle, we can use the Pythagorean theorem to find its length. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.