test","extracted_subject":"MATH","extracted_chapter":"TRIGONOMETRICAL EQUATIONS, PROPERTIES OF TRIANGLES AND HEIGHTS AND DISTANCES","extracted_topic":"RELATION BETWEEN SIDES & ANGLES, SOLUTION OF TRIANGLES","questionPreviewUrl":"https://cdn.pureessence.tech/question-previews/packed_canvases/canvas_2086.png?top_left_x=1064&top_left_y=1001&width=532&height=241&app=solveeit"},"seo_metadata":{"keywords":[]},"doubt_solver_data":{"concept_summary":[]},"embeddings":[],"is_hidden":false,"_id":"66d23e73425d76b7ab320125","slug":"if-two-sides-a-b-and-the-angle-a-be-such-that-two--1","content":"If two sides a, b and the angle A be such that two triangles are formed, then the sum of the two values of the third side is-","options":[{"_id":"68a3ae877f15af4716be9a23","text":"2b sin A","sequence":0,"isCorrect":false},{"_id":"68a3ae877f15af4716be9a24","text":"2b cos A","sequence":1,"isCorrect":true},{"_id":"68a3ae877f15af4716be9a25","text":"(b/a) cos A","sequence":2,"isCorrect":false},{"_id":"68a3ae877f15af4716be9a26","text":"(c + b) cos A","sequence":3,"isCorrect":false}],"correct_answer":"2b cos A","explanation":"cos A = \\(\\frac { \\mathrm { b } ^ { 2 } + \\mathrm { c } ^ { 2 } - \\mathrm { a } ^ { 2 } } { 2 \\mathrm { bc } }\\) \n\ñ c² –2bc cos A + b² –a² = 0\n\nIf c₁, c₂ be the values of third side then c₁ + c₂ = 2b cos A","question_type":"single_choice","appeared_in":[],"created_at":"2024-08-30T21:49:39.424Z","__v":0,"vector_store_id":"dde3f760-96ce-4b16-bb44-ba59acc1395d","updated_at":"2024-08-30T21:49:39.424Z","isStarred":false},"params":{"questionSlug":"if-two-sides-a-b-and-the-angle-a-be-such-that-two--1"}}]}]]

Question: If two sides a, b and the angle A be such that two triangles are formed, then the sum of the two val...

Solution