Question

Please help on geometry

Find the longest side of the figure QUAD.

QUAD
( 80°, 42°, 82°, 30° )

Answer 1

The longest side is AD.

Explanation:

The above question is based on a simple fact that, sides opposite to the largest angle is the largest side.

Above,

80+30+∠QDA = 180

∠QDA = 70 degrees and

82+46+∠QAU = 180

∠QAU = 57 degrees

In triangle QDA, 80 degrees is largest and so side DA is largest.

QD is opposite to 30 degrees, and so is smallest.

(while other 2 sides having 46 degrees and 57 degrees as opposite angles are intermediate sides)