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Acute-angled
حاد الزاوية (ḥād al-zāwiyah) is an Arabic phrase meaning 'acute-angled' or 'having acute angles.' It is used in geometry and mathematics to describe triangles or other polygons where all interior angles are less than 90 degrees. This term is fundamental in geometric terminology and appears frequently in educational and technical contexts.
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المثلث حاد الزاوية له ثلاث زوايا أقل من تسعين درجة.
Al-muthallath ḥād al-zāwiyah lahu thalāth zawāyā aqall min tisʿīn darajah.
An acute-angled triangle has three angles less than ninety degrees.
في الهندسة، المثلث حاد الزاوية يختلف عن المثلث المنفرج الزاوية.
Fī al-hindāsah, al-muthallath ḥād al-zāwiyah yakhtalif ʿan al-muthallath al-munfarij al-zāwiyah.
In geometry, an acute-angled triangle differs from an obtuse-angled triangle.
المثلث المتساوي الأضلاع هو مثلث حاد الزاوية دائماً.
Al-muthallath al-mutasāwī al-aḍlāʿ huwa muthallath ḥād al-zāwiyah dāʾiman.
An equilateral triangle is always an acute-angled triangle.
الطالب رسم مثلثاً حاد الزاوية في دفتر الرياضيات.
Al-ṭālib rasama muthallathan ḥād al-zāwiyah fī daftar al-riyāḍiyyāt.
The student drew an acute-angled triangle in the mathematics notebook.
كل الزوايا في الشكل حاد الزاوية تقل عن 90 درجة.
Kull al-zawāyā fī al-shakl ḥād al-zāwiyah taqull ʿan 90 darajah.
All angles in the acute-angled figure are less than 90 degrees.
The phrase حاد الزاوية is deeply embedded in Arabic mathematical and educational terminology, used consistently across Arabic-speaking countries in schools and universities. Mathematics education in the Arab world follows similar geometric principles as Western education, making this term universal in academic contexts. The phrase reflects how Arabic, like English, uses descriptive combinations to create geometric terminology.
Remember that حاد الزاوية is a compound adjective phrase where حاد (acute/sharp) modifies زاوية (angle). When used with feminine nouns, adjust the gender agreement accordingly (حادة الزاوية for feminine). This phrase appears primarily in mathematical, geometric, and educational contexts, so learn it well if you're studying Arabic mathematics or geometry.
The Arabic phrase حاد الزاوية (ḥād al-zāwiyah) literally translates to 'acute-angled' or 'having acute angles.' This is a fundamental geometric term used to describe triangles and other polygons where all interior angles measure less than 90 degrees. The phrase combines two Arabic words: حاد (ḥād), meaning 'acute' or 'sharp,' and الزاوية (al-zāwiyah), meaning 'the angle.'
In geometry, حاد الزاوية is one of three primary triangle classifications:
Understanding these classifications is essential for students learning mathematics in Arabic, as geometric problems frequently reference these terms.
حاد الزاوية appears extensively in Arabic mathematics textbooks, from elementary geometry through advanced trigonometry. Teachers use this term when:
An acute-angled triangle (مثلث حاد الزاوية) has several important properties:
When studying حاد الزاوية, you'll encounter related terminology:
In real-world applications, حاد الزاوية appears in:
When using حاد الزاوية in sentences, remember:
Learners often confuse حاد الزاوية with other angle classifications. Remember:
To master حاد الزاوية effectively:
Mathematics education across Arabic-speaking countries uses standardized geometric terminology, making حاد الزاوية a universal term understood by students and educators throughout the Arab world. This consistency facilitates educational exchange and academic collaboration across different Arabic-speaking regions.
حاد الزاوية is an essential term for anyone studying Arabic mathematics or geometry. Its understanding provides a foundation for more advanced geometric concepts and is frequently encountered in academic and professional contexts throughout the Arab world.