If the cosine of their angle is the root of the equation 5x2-7x-6 = 0, then the length of the other side of the triangle is () A. 52B. 213C. 16D. 4

If the cosine of their angle is the root of the equation 5x2-7x-6 = 0, then the length of the other side of the triangle is () A. 52B. 213C. 16D. 4

By solving the equation 5x2-7x-6 = 0, the root of the equation is 2 or - 35, so the cosine of the angle cos θ = - 35. According to the cosine theorem, the length of the other side of the triangle is 32 + 52 − 2 × 3 × 5 × (− 35) = 213