Answer: option A is correct
Step-by-step explanation:
The given side lengths are
A) 5, 12, 13
B) 4, 4, 8
C) 2, 3, 4
To be able to form a right ange triangle, the given side lengths must be a Pythagorean triple. Pythagorean triple obeys the Pythagorean theorem such that
Hypotenuse² = opposite side² + adjacent side²
Hypotenuse = the longest side
Applying it to the given options,
A) 13² = 5² + 12² = 25 + 144
169 = 169
It forms a right angle triangle
B) 8² = 4² + 4² = 16 + 16
64 ≠ 32
It does not forms a right angle triangle
C) 4² = 3² + 2²
16 ≠ 13
It does not forms a right angle triangle
