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0.35m 0.35 LOS 105m

0.35m 0.35 LOS 105m

Fundamentals Of Construction Estimating
Fundamentals Of Construction Estimating
4th Edition
ISBN:9781337399395
Author:Pratt, David J.
Publisher:Pratt, David J.
Chapter3: Measuring Quantities Generally
Section: Chapter Questions
Problem 13RQ
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Determine area of the shape below

### Transcription and Explanation of Diagram #### Diagram Description The image shows a hand-drawn sketch of a geometric shape, specifically a right-angled triangle with dimensions labeled on it. Below is a detailed transcription and description of the diagram: 1. **Dimensions and Annotations**: - The horizontal base of the triangle is labeled as **1.05 meters**. - The vertical height of the triangle is labeled as **0.35 meters**. - The hypotenuse (the longest side of the triangle opposite the right angle) is labeled as **1.05 meters**. - An additional segment, perpendicular to the base situated at the leftmost point of the base, and up to the height, is labeled as **0.35 meters**. 2. **Geometric Markings**: - There are two right angle markers: one located between the base and height, and another within the triangle closer to the apex. This diagram provides dimensions for understanding the properties and proportionality of right-angled triangles. Each measurement is annotated for clarity, which can be useful for educational purposes, especially in courses such as geometry or technical drawing. #### Educational Relevance Understanding this diagram is crucial for comprehending the principles of right-angled triangles and the Pythagorean theorem. With the given dimensions, students can practice calculations involving: - **Finding Missing Sides**: Given two sides—base and height—students can calculate the hypotenuse. - **Verification of the Right Triangle**: Using the Pythagorean theorem \(a^2 + b^2 = c^2\) to verify the lengths. - **Scaling Properties**: Understanding how changes in the dimensions of the triangle affect the overall shape and size. This type of diagram and its annotations make it easier to visualize and solve problems related to right-angled triangles in mathematics and physics.
Transcribed Image Text:### Transcription and Explanation of Diagram #### Diagram Description The image shows a hand-drawn sketch of a geometric shape, specifically a right-angled triangle with dimensions labeled on it. Below is a detailed transcription and description of the diagram: 1. **Dimensions and Annotations**: - The horizontal base of the triangle is labeled as **1.05 meters**. - The vertical height of the triangle is labeled as **0.35 meters**. - The hypotenuse (the longest side of the triangle opposite the right angle) is labeled as **1.05 meters**. - An additional segment, perpendicular to the base situated at the leftmost point of the base, and up to the height, is labeled as **0.35 meters**. 2. **Geometric Markings**: - There are two right angle markers: one located between the base and height, and another within the triangle closer to the apex. This diagram provides dimensions for understanding the properties and proportionality of right-angled triangles. Each measurement is annotated for clarity, which can be useful for educational purposes, especially in courses such as geometry or technical drawing. #### Educational Relevance Understanding this diagram is crucial for comprehending the principles of right-angled triangles and the Pythagorean theorem. With the given dimensions, students can practice calculations involving: - **Finding Missing Sides**: Given two sides—base and height—students can calculate the hypotenuse. - **Verification of the Right Triangle**: Using the Pythagorean theorem \(a^2 + b^2 = c^2\) to verify the lengths. - **Scaling Properties**: Understanding how changes in the dimensions of the triangle affect the overall shape and size. This type of diagram and its annotations make it easier to visualize and solve problems related to right-angled triangles in mathematics and physics.
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