Question

Complete the following proof.Prove: The segments joining the midpoints of the sides of a right triangle. If the answer is undefined use the letter U.

Answer 1

Step-by-step explanation:

From the given figure, it can be seen that the coordinates of the given points are:

$A=(0,0),B=(2a,0),A=(0,2b),P=(a,0),Q=(a,b),R=(0,b)$

Now, The coordinates of P, Q and R are:

$\begin{gathered} P=(a,0) \\ Q=(a,b) \\ R=(0,b) \end{gathered}$

Now, slope of PQ is given as:

$S=\frac{b-0}{a-a}=\frac{b}{0}$

which is undefined.

Slope of RQ is given as:

$S=\frac{b-b}{a-0}=\frac{0}{a}=0$

which are the required slope of PQ and RQ respectively.