Answer:
B is the right triangle because the sum of the square of each of the two shortest sides will equal the square of the longest side.
Explanation:
Pythagorean Theorem says if a triangle is a right triangle with side lengths a, b, and c, then a^2 + b^2 = c^2 where c is the length of the longest side.
So, A. 16^2= 7^2 + 12^2 256 does not = 193 NOT a right triangle
B. 13^2= 5^2 + 12^2 169 = 169 Yes this is a right triangle
C. 9^2= 4^2 + 5^2 81 does not = 41 NOT a right triangle
D. 19^2= 8^2 + 15^2 361 does not = 289 NOT a right triangle