Answer: B.
Step-by-step explanation:
In B, opp=5 adj = 12 hyp=x
Using pythagoras theorem
hyp² = opp² + adj²
x² = 5² +12²
x² = 25 + 144
x² = 169
x=√(69)
x=13
B is the only triangle with a hypotenuse whose length is interger.
Looking at A,
x² = 4² +2²
x= √(20) =4.47
x is not an interger
lets take c and see,
x² = 2² +5²
x = √(29) = 5.385, its also not an interger.
Now, we will take the last one and check
x² = 8² +14²
x=√260 = 16.12, it is not an interger
There B is the only triangle with an integer hypotenuse.
