Anonymous

2² = 4² + 3² - 2 x 4 x 3 cos Ө 24 cos Ө = 21 cos Ө = 7/8 Ө = 29 ⁰

Anonymous

The smallest angle is opposite the side 2m: 28.95502437185984 degrees

Anonymous

The way I see it, it depends on whether 2n is greater than 3m or not. If 2n>3m, then the angle opposite the side at 3m is the smallest. Otherwise, it is the angle opposite the side 2n. clearly, 4m will never be the short side.

Anonymous

Label the angles A B C and their opposite sides a b c and use the cosine rule cos A = (b^2 +c^2 -a^2)/2bc to find any angle. Note that the smallest angle will be opposite to the smallest side.