Chapter 4.2, Problem 5PSA

To determine

To Check: Whether the given condition is true or false.

Answer to Problem 5PSA

False

Explanation of Solution

Given information: $AD\perp BC,\Delta ABC\text{is}\text{scalene}\text{.}$

Proof:

  

From the figure, it is clear that $\angle ADB={90}^{\circ }=\angle ADC$ , but no other angle or side of $\Delta ADB$ and $\Delta ACD$ is equal. Hence the statement that $\Delta ABD\cong \Delta ACD$ is false.