Question

2.3 I can apply the Pythagorean Theorem and Triangle Inequality.Which of the following could be lengths for a triangle?Show your work on a separate piece of paper.(Select all that apply.)5, 6, 9D 4,8, 127, 8, 17Are any of the selected triangles above right triangles?How do you know?Suami

Answer 1

For the triangle with sides 5, 6 and 9, you have:

5 + 6 > 9

5 + 9 > 6

9 + 6 > 9

9² ≠ 5² + 6²

≠ 25 + 36

≠ 61

Then, it is not a right triangle

For the triangle with sides 4, 8 and 12:

4 + 8 ≥ 12

in this case the triangle inequality is not present

12² ≠ 4² + 8²

Then, it is not a right triangle

For the triangle with sides 7, 8 and 17:

7 + 8 < 17

in this case the triangle inequality is not present

17² ≠ 8² + 7²

Then, it is not a right triangle