Question

Using the converse of Pythagorean Theorem and the law of sines and cosines solve the word problem.

Answer 1

It's the law of cosines

Explanation:

law of cosines states that
`c^(2) =a^(2) +b^(2) -2ab (cos(\alpha ))`

so we know that a = 7, b = 4, and alpha would be 135 degrees, so just plugging it in gets us 49+16-2*7*4*(-0.707) = 65 + 39.59 = 104.59