Question

If we apply the Pythagorean Theorem to the Egyptian knots we can see that 3^2 + 4^2 = 5^2. Which of the sets of three numbers listed would also let you form a right angle in this way? Choose all answers that apply:

A) { 2, 5 ,9 }
B) { 24, 24, 30 }
C) { 36, 85, 77 }
D) { 5, 12, 13 }

Answer 1

The answer is c and b

Answer 2

Answer: the answers are c and d

Step-by-step explanation: only these combinations would form right triangles because the way other combinations are too small or too large to actually accommodate for the remaining number in the problem. The squares of 5, 12, and 13 are 25, 144, and 169, meaning they form a perfect right triangle. The next sequence is 36, 85, 77, and the squared rearranged version is 1,296, 5,929, and 7,225, meaning they also form a right triangle.