Use the pythagorean theorem to explain whether or not 7, 8, and 14 could be the side lengths of a right triangle. show all calculations necessary to support your explanation.

 NOT a right triangle

Step-by-step explanation:

If it is a right triangle, the sum of the squares of the shorter sides must equal the square of the larger side.

7² + 8² = 14²

49 + 64 = 196

    113    = 196     FALSE!

These side lengths do not form a right triangle.

6 on both sides and twelve on the top and the bottom

step-by-step explanation:

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.