right triangles - Problem solving

[ccassel]

Hi All,

Would anyone be able to explain the answer to the following question?

Which of the following groups of numbers could be the lengths of the sides of a right triangle?

I. 1, 4, root17
II. 4, 7, root11
III. 4, 9, 6

Answer is A: "I" only

Thanks,

[Night reader]

the unique property for ALL right triangles is Pythagorean theorem C^2 (hypotenuse side squared) = A^2 + B^2 (squared non-hypotenuse sides' sum). Let's see III. 4,9,6 - please note it's not possible to have 9^2=4^2+6^2. And II. 7^2 = 4^2 + 11 is also not possible. But, note I. 1,4, root17 --> 17=1^2 + 4^2 Correct

Hi All,

Would anyone be able to explain the answer to the following question?

Which of the following groups of numbers could be the lengths of the sides of a right triangle?

I. 1, 4, root17
II. 4, 7, root11
III. 4, 9, 6

Answer is A: "I" only

Thanks,

[ccassel]

Thanks, that makes sense but should it match one of the pathagorean triplets? That is where I went off path.

3:4:5
5:12:13
1:1:root2
1:root3:2
7:24:25

Thanks again!

[Night reader]

what you list below are the different side relationships in right triangles given their respective angle properties, i.e. 45`-45`-90 --> 1-1-Sqrt(2) OR 30-60-90 --> 1-Sqrt(3)-2, also the sides C^2= A^2 + B^2. These are all correct, BUT leave out the answer choices in your question.

Thanks, that makes sense but should it match one of the pathagorean triplets? That is where I went off path.

3:4:5
5:12:13
1:1:root2
1:root3:2
7:24:25

Thanks again!

[ccassel]

I see the relationship now. Thanks.