Using the angle measures shown in the figure on the right above, place PS, PR, and PQ in the correct order. _______ < _______ < _______. Quote theorems to support your conclusion.

Question

Answer 1

PR < PQ < PS (We using property of triangle: across bigger angle is bigger side)

Answer 2

Length of PQ>length of PR and length of PS is greater than length of PR because in a right triangle the hypotenuse is always greater than either leg.

The length of PS is GREATER than length of PQ (despite the way it looks in the diagram) because in a triangle with two unequal angles, the sides opposite these angles are unequal and the longer side is opposite the greater angle.