Question

Find the diagonal BD simplify you answer (Explain)

Answer 1

Answer:

See below:

Step-by-step explanation:

First of all, you will see that diagonal BD is a angle bisector for Angles <ABC and <ADC. Now, knowing that it is a square.

We see that the angle bisector splits the angles into 45 degrees each due to the sum of angles in a square being 360 degrees hence giving us 4 right angles.

Now, if we see this, we see that we have a 45 45 90 Triangle!

The theorem states that the hypotenuse is equal to $x\sqrt{2}$.

Hence, we get our answer of $5\sqrt{2}$!