![]() ![]() Flight paths of planes also require triangle calculations. Mobile network operators can establish your location by triangulating your signal using 3 or more base towers which are in range. More advanced applications are crucial to surveying and GPS (triangulation). Steel and wooden structures like houses, bridges, warehouses, etc. If you want to know how long a ladder should be so it can reach a given height at a given angle with the ground. The reference lines are established using the 3-4-5 rule. Practical application of triangle geometryĪn everyday use of triangle math is if you want to lay tiles at perfect 90° or 45° to the sides of a room. Obviously using both a tangent calculator and an exponent calculator is quite helpful. This task can be resolved using the ASA rule. So (6 x 4) / 2 = 24 / 2 = 12 sq in.Įxample 3: Find the area of a triangle-shaped garden given one side of it (say, c) is 15 feet long and the two adjacent angles are 30° and 60°. In this case the SAS rule applies and the area can be calculated by solving (b x c x sinα) / 2 = (10 x 14 x sin(45)) / 2 = (140 x 0.707107) / 2 = 99 / 2 = 49.5 cm 2.Įxample 2: If one side of the triangle is known to be 6 inches in length, and the height perpendicular to it is 4 inches in length, what is the triangle's area? This is a straightforward application of the side and height rule which calls for a simple multiplication of the two, and then a division by two. ![]() Examples: find the area of a triangleĮxample 1: Using the illustration above, take as given that b = 10 cm, c = 14 cm and α = 45°, and find the area of the triangle.
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