Complementary angles add up to 90 degrees, while supplementary angles add up to 180 degrees. Thus the angle which is equal to its complement is 45 deg. The angle that equals its supplement is 90 deg.

Where,

• d₁ = length of diagonal 1
• d₂ = length of diagonal 2
• b = length of any side
• h = height of rhombus
• a = measure of any interior angle

The formula to calculate the area of trapezium is:
Area = ½ x Sum of parallel sides x Distance between the parallel sides

Area of trapezium = ½ x (a+b) x h

Franz was a student in one of the schools in the districts of Alsace. Having a poor family set up, the boy was often asked to work in some mill for earning some money. But the family could not pay due attention towards his education, so the boy loved outside environment and wanted to enjoy it. In the school too, he often loved to work in the garden. He became fond of shirking from work and used to put off his learning as well as home task. But he was much scared of his teacher M. Hamel.

In addition to this, the boy had an acute sense of understanding, feeling, recognition and respect. Entering the school, he sensed unusualness and calmness there. He was much surprised at this and was rather troubled to know that his teacher was leaving them because of an order from Berlin had banned the teaching of French. During the writing period, he noticed sad expressions over the face of M. Hamel. When the teacher taught a lesson in grammar, it left an indelible impression on the boy. He felt that the teacher was going to pour everything in their minds. Then the teacher wrote on the blackboard ‘Long Live France’. The boy was deeply moved and he recognised his teacher for his worth. Thus Franz had all the senses of head and heart.

In the beginning, M. Hamel emerges as a very strict teacher who always keeps a ruler in his hand. Apparently, it appears that M. Hamel does not understand the tender feelings of his students. He seems to be a typically hard task-master. But when he teaches his last lesson, the sensitive and thought-provoking teacher within him comes out. He is a great patriot and wants his students and countrymen to be proud of their nation and language. He exhorts them to come forward and to keep their language and culture intact and alive. M. Hamel is a very patient fellow. He teaches even his last lesson with great patience. To sum up, M. Hamel is a perfect teacher.

शुरू में, M. Hamel एक ऐसे कठोर अध्यापक के रूप में उभरकर आते हैं जो हमेशा अपने हाथ में एक डण्डा रखता है। सतही तौर पर ऐसा लगता है कि M. Hamel अपने छात्रों की सुकोमल भावनाओं को नहीं समझते हैं। वह विशिष्ट सख्त मिजाज व्यक्ति प्रतीत होते हैं। किन्तु जब वह अपना अन्तिम पाठ पढ़ाते हैं, तो उनके अन्दर का संवेदनशील और विचारोत्तेजक अध्यापक बाहर आ जाता है। वह एक महान देशभक्त हैं और चाहते हैं कि उनके विद्यार्थी तथा देशवासी अपने देश और अपनी भाषा के प्रति गौरव का अनुभव करें। वह उनका आह्वान करते हैं कि वे आगे आएं और अपनी भाषा तथा संस्कृति को सुरक्षित व जीवित रखें। M. Hamel एक बहुत ही धैर्यशाली व्यक्ति हैं। वह अपने अन्तिम पाठ को बहुत धैर्य के साथ पढ़ाते हैं। संक्षेप में, M. Hamel एक सम्पूर्ण शिक्षक हैं।

Franz entered the school. He noticed many unusual things in the school. It was all so still, calm and quiet like Sunday morning. The whole school looked strange and solemn. There was no hustle and bustle. The rapping of the teacher’s ruler on the table was not heard. The voice of the students repeating the lessons and the opening and closing of the desks was not heard. It was quite unusual and surprising.

The young trees are personified in the poem. They seem to be running in the opposite direction when seen through the window of the moving car. The movement is juxtaposed with the expression on the mother’s face i.e. ashen like a corpse. The movement of the children and the trees is in stark contrast with the stillness associated with the mother.

Franz was a student in one of the schools in the districts of Alsace. Having a poor family set up, the boy was often asked to work in some mill for earning some money. But the family could not pay due attention towards his education, so the boy loved outside environment and wanted to enjoy it. In the school too, he often loved to work in the garden. He became fond of shirking from work and used to put off his learning as well as home task. But he was much scared of his teacher M. Hamel.

In addition to this, the boy had an acute sense of understanding, feeling, recognition and respect. Entering the school, he sensed unusualness and calmness there. He was much surprised at this and was rather troubled to know that his teacher was leaving them because of an order from Berlin had banned the teaching of French. During the writing period, he noticed sad expressions over the face of M. Hamel. When the teacher taught a lesson in grammar, it left an indelible impression on the boy. He felt that the teacher was going to pour everything in their minds. Then the teacher wrote on the blackboard ‘Long Live France’. The boy was deeply moved and he recognised his teacher for his worth. Thus Franz had all the senses of head and heart.

In the beginning, M. Hamel emerges as a very strict teacher who always keeps a ruler in his hand. Apparently, it appears that M. Hamel does not understand the tender feelings of his students. He seems to be a typically hard task-master. But when he teaches his last lesson, the sensitive and thought-provoking teacher within him comes out. He is a great patriot and wants his students and countrymen to be proud of their nation and language. He exhorts them to come forward and to keep their language and culture intact and alive. M. Hamel is a very patient fellow. He teaches even his last lesson with great patience. To sum up, M. Hamel is a perfect teacher.

शुरू में, M. Hamel एक ऐसे कठोर अध्यापक के रूप में उभरकर आते हैं जो हमेशा अपने हाथ में एक डण्डा रखता है। सतही तौर पर ऐसा लगता है कि M. Hamel अपने छात्रों की सुकोमल भावनाओं को नहीं समझते हैं। वह विशिष्ट सख्त मिजाज व्यक्ति प्रतीत होते हैं। किन्तु जब वह अपना अन्तिम पाठ पढ़ाते हैं, तो उनके अन्दर का संवेदनशील और विचारोत्तेजक अध्यापक बाहर आ जाता है। वह एक महान देशभक्त हैं और चाहते हैं कि उनके विद्यार्थी तथा देशवासी अपने देश और अपनी भाषा के प्रति गौरव का अनुभव करें। वह उनका आह्वान करते हैं कि वे आगे आएं और अपनी भाषा तथा संस्कृति को सुरक्षित व जीवित रखें। M. Hamel एक बहुत ही धैर्यशाली व्यक्ति हैं। वह अपने अन्तिम पाठ को बहुत धैर्य के साथ पढ़ाते हैं। संक्षेप में, M. Hamel एक सम्पूर्ण शिक्षक हैं।