CBSE Class 7 > Class 7 Notes > Mathematics (Maths) (Old NCERT) > Visual Worksheet: Special Right Triangles
Visual Worksheet: Special Right Triangles
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FAQs on Visual Worksheet: Special Right Triangles
| 1. What are the key properties of 30-60-90 triangles? |  |
Ans. In a 30-60-90 triangle, the sides have a specific ratio: the length of the side opposite the 30-degree angle is \(x\), the side opposite the 60-degree angle is \(x\sqrt{3}\), and the hypotenuse is \(2x\). This ratio is crucial for solving problems involving these triangles.
| 2. How do you find the lengths of the sides in a 45-45-90 triangle? | |
Ans. In a 45-45-90 triangle, both legs are of equal length, denoted as \(x\). The hypotenuse is \(x\sqrt{2}\). To find the lengths, if you know the length of one leg, you can easily calculate the hypotenuse using this ratio.
| 3. Can special right triangles be used in real-life applications? | |
Ans. Yes, special right triangles are widely used in various real-life applications, such as architecture, engineering, and construction. For instance, they help in determining heights of structures and in creating precise angles for design purposes.
| 4. How can I quickly remember the ratios of sides in special right triangles? | |
Ans. A useful mnemonic for the 30-60-90 triangle is "1, \(\sqrt{3}\), 2" corresponding to the angles. For the 45-45-90 triangle, remember "1, 1, \(\sqrt{2}\)." Creating visual aids or flashcards can also help reinforce these ratios.
| 5. What is the relationship between special right triangles and the Pythagorean theorem? | |
Ans. Special right triangles exemplify the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. This relationship is evident in both 30-60-90 and 45-45-90 triangles, confirming the side length ratios derived from the theorem.
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Apr 29, 2026 Last updated
Document Description: Visual Worksheet: Special Right Triangles for Class 7 2026 is part of Mathematics (Maths) Class 7 (Old NCERT) preparation. The notes and questions for Visual Worksheet: Special Right Triangles have been prepared according to the Class 7 exam syllabus. Information about Visual Worksheet: Special Right Triangles covers topics like and Visual Worksheet: Special Right Triangles Example, for Class 7 2026 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Visual Worksheet: Special Right Triangles.
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