Question

If we draw all the diagonals of a rectangle, how many triangles will we get?

• A. $8$
• B. $6$
• C. $4$
• D. $2$

Answer 1

The correct option is A $8$

Let’s take a rectangle $ABDC$ as an example and draw the diagonals.

We have 4 inner triangles.
$\bullet \Delta AOB$
$\bullet \Delta COD$
$\bullet \Delta COA$
$\bullet \Delta DOB$

Apart from these, there are 4 right triangles.
$\bullet \Delta ABD$
$\bullet \Delta ABC$
$\bullet \Delta ADC$
$\bullet \Delta BDC$

Hence, we will get a total of 8 triangles in a rectangle whose diagonals are drawn.