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Date: 13-2-2017
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Date: 8-2-2017
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Date: 9-2-2017
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olving of oblique triangles
Case 1. |
Three sides a, b, c are given. Find angles A, B, C. By the law of cosines we find one of the angles:
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E x a m p l e . |
Three sides of a triangle are given: a = 2, b = 3, c = 4. Find angles of this triangle. |
S o l u t i o n . |
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Case 2. |
Given: two sides a and b and angle C between them. Find a side c and angles A and B. By the law of cosines we find a side c : c 2 = a 2 + b 2 - 2 ab · cos C ;
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Case 3. |
Any two angles and a side are given. Find the third angle and two other sides. It is obvious, that the third angle is calculated by the formula: A+ B+ C = 180°, and then using the law of sines we find two other sides. |
Case 4. |
Given two sides a and b and angle B, opposite one of them. Find a side c and angles A and C. At first by the law of sines we find an angle A :
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E x a m p l e . |
Given: a = 5, b = 3, B = 30°. Find a side c and angles A and C . |
S o l u t i o n . |
We have here: a > b and a sin B < b . ( Check it please ! ). |
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التوتر والسرطان.. علماء يحذرون من "صلة خطيرة"
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مرآة السيارة: مدى دقة عكسها للصورة الصحيحة
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نحو شراكة وطنية متكاملة.. الأمين العام للعتبة الحسينية يبحث مع وكيل وزارة الخارجية آفاق التعاون المؤسسي
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