If the lengths of the two sides of the triangle are 8 and 6 respectively, and the length of the third side is a real root of the quadratic equation x2-16x + 60 = 0, then the area of the triangle is () A. 24B. 24 or 85C. 48D. 85

If the lengths of the two sides of the triangle are 8 and 6 respectively, and the length of the third side is a real root of the quadratic equation x2-16x + 60 = 0, then the area of the triangle is () A. 24B. 24 or 85C. 48D. 85

X2-16x + 60 = 0 {(X-6) (X-10) = 0, ｜ x = 6 or x = 10. When x = 6, the triangle is an isosceles triangle with 6 as the waist and 8 as the bottom.. H = 62 − 42 = 25, ｜ s △ = 12 × 8 × 25 = 85; when x = 10, the triangle is a right triangle with 6 and 8 as the right angle sides and 10 as the hypotenuse.. s △ = 12 × 6 × 8 = 24.. s = 24 or 85. Therefore: B