JEE Main 2024 Mathematics question
Let ABC be a triangle of area 15√2 and the vectors , and , d > 0. Then the square of the length of the largest side of the triangle ABC is-
Answer: 54
Solution
Area = ½|AB × AC| = 15√2 gives d = 2. Then AB² = 54, AC² = 44 and BC² = |AC − AB|² = 50, so the largest side squared is 54.