which are the possible sides of a triangle ? a. 15, 9, 3 b. 6, 12, 19 c. 11, 6, 3 d. 4, 8, 10

Answer:Option d. 4, 8, 10Step-by-step explanation:we know thatThe Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third sideVerify each casecase a) we have15, 9, 3Applying the triangle Inequality Theorem1) 15+9 > 324> 3 ------> is true2) 15+3 > 918 > 9 ----> is true3) 9+3 > 1512 > 15  ----> is not truethereforeThe set of lengths cannot be used to form the sides of a trianglecase b) we have6,12,19Applying the triangle Inequality Theorem1) 6+12 > 1918> 19 ------> is not truethereforeThe set of lengths cannot be used to form the sides of a trianglecase c) we have11,6,3Applying the triangle Inequality Theorem1) 11+6 > 317> 3 ------> is true2) 11+3 > 614 > 6 ----> is true3) 6+3 > 119 > 11  ----> is not truethereforeThe set of lengths cannot be used to form the sides of a trianglecase d) we have4,8,10Applying the triangle Inequality Theorem1) 4+8 > 1012> 10 ------> is true2) 4+10 > 814 > 8 ----> is true3) 8+10 > 418 > 4  ----> is truethereforeThe set of lengths can be used to form the sides of a triangle