Question

If sides BD and DC have the same length, what is the length of side BC?

Answer 1

Answer:

The length of side BC is:

                        2 units.

Step-by-step explanation:

In the right angled triangle BAD we will use the Pythagorean Theorem as:

$BD^2=BA^2+AD^2\\\\i.e.\\\\BD^2=1^2+1^2\\\\i.e.\\\\BD^2=2\\\\i.e.\\\\BD=\sqrt{2}\ units$

Also, it is given that sides BD and DC have the same length.

i.e.

$BD=DC=\sqrt{2}\ units$

Hence, in right angled triangle i.e. ΔBDC we will again use the Pythagorean Theorem as:

$BC^2=BD^2+DC^2\\\\i.e.\\\\BC^2=(\sqrt{2})^2+(\sqrt{2})^2\\\\i.e.\\\\BC^2=2+2\\\\i.e.\\\\BC^2=4\\\\i.e.\\\\BC=2\ units$

Answer 2

I would be 2
i think i hope that works for you