Question

50 Points ---------------Find the lengths of the sides of the right triangle whose vertices are located at the given points. Show that these lengths satisfy the Pythagorean Theorem. Show all of your work.

P: (-6, -3, 4)

Q: (-7, -1, 3)

R: (6, 4, 0)

Answer 1

steps below

Explanation:

mPQ² = (-7 - -6)² + (-1 - -3)² + (3 - 4)² = 1+4+1 = 6

mQR² = (6 - -7)² + (4 - -1)² + (0 - 3)² = 169+25+9 = 203

mPR² = (6 - -6)² + (4 - -3)² + (0 - 4)² = 144+49+16 = 209

mPR² = 209 = mPQ² + mQR² = 6+203 ... satisfy the Pythagorean Theorem