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The Pythagorean Theorem is used extensively in designing and When a piece of lumber is Suppose a roof has a rise of 18 inches and a run of 15 feet. Math Application . A Geometry Sketchpad showing intersecting roofs with The use of knowledge and understanding of mathematics in engineering context.Mathematics is science of pattern that engineers seek out whether found in numbers, space, science, computers, imaginary abstractions, or elsewhere. One of the most relevant applications is in Control Theory (taught in EE programs at Universities). triangles together. If a plan calls for a 6/12 pitch roof, then the architect Note :-These notes are according to the R09 Syllabus book of JNTU.In R13 and R15,8-units of R09 syllabus are combined into 5-units in R13 and R15 syllabus. intersecting roofs and corresponding valley rafter. The valley formed from the two common rafters and can be thought to begin or end measurements. valley rafter calculation will involve a proportion. 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