Question 179
A mistake that many students make is to think that two quadrilaterals are congruent if their corresponding sides are equal. This is not true. In this problem, we will see that quadrilaterals can have equal corresponding sides but different areas.
a) Show that the largest possible area for a quadrilateral that has two sides of length $3$ and two of length $4$ is $12$.
b) Show that, in the quadrilaterals for which this happens, the sum of the opposite angles is $180^{\circ}$.
a) Show that the largest possible area for a quadrilateral that has two sides of length $3$ and two of length $4$ is $12$.
b) Show that, in the quadrilaterals for which this happens, the sum of the opposite angles is $180^{\circ}$.