Question

in ABC ,PQ parallel to BC and BD equal to DC prove that P is equal to EQ​

Answer 1

$\bf\large\underline\red{Hey mate!!!}$

$\bf\small\underline\green{Step-By-Step-Explnation:-}$

In △ABC, PQ∣∣BC and BD=DC.

We know that AD bisects PQ and PE=EQ

We also know that PE∣∣BD and EQ∣∣DC

But, it is given that BD=DC, therefore, PE∣∣EQ

(Because if two or more lines are parallel to the same line then they are parallel to each other)

Hence, PE∣∣EQ

❒______________________

$\bf\huge\underline\purple{Follow me!!!}$

Answer 2

$\huge\star\mathfrak\blue{{Answer:-}}$

In △ABC, PQ∣∣BC and BD=DC.

We know that AD bisects PQ and PE=EQ

We also know that PE∣∣BD and EQ∣∣DC

But, it is given that BD=DC, therefore, PE∣∣EQ

(Because if two or more lines are parallel to the same line then they are parallel to each other)

Hence, PE∣∣EQ.