Question

For which triangle is the length of the hypotenuse an INTEGER?

Answer 1

B.

5 squared + 12 squared = x squared

5 squared = 25

12 squared = 144

144+25 = 169

Square root of 169 = 13

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Answer 2

Answer: B.

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.