Answer:
Option A; No,
Option B; Yes,
Option C; No,
Option D; Yes
Explanation:
If these are right triangles, Pythagorean Theorem can be applied to them such that the smaller lengths are to be the legs, the larger of the two the hypotenuse;
Case 1; We are given a triangle with lengths 7, 20, and 25. Clearly the two legs must be those with lengths 7 and 20, the hypotenuse with length 25 units,
7^2 + 20^2 = 25^2,
49 + 400 = 625,
449 ≠ 625 ⇒ Thus these lengths do not form a right triangle
Case 2; We are given lengths 26, 24 , and 10 ⇒ where the legs are lengths 10 and 24, the hypotenuse of length 26,
10^2 + 24^2 = 26^2,
100 + 576 = 676,
676 = 676 ⇒ Thus these lengths do form a right triangle
Case 3; This triangle has legs of lengths 8 and √10, with a hypotenuse of length 13,
√10^2 + 8^2 = 13^2,
10 + 64 = 169,
74 ≠ 169 ⇒ Thus these lengths do not form a right triangle
Case 4; This triangle has legs of lengths 48 and 20, with a hypotenuse of length 52,
20^2 + 48^2 = 52^2,
400 + 2304 = 2704,
2704 = 2704 ⇒ Thus these lengths do form a right triangle