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

Mathematics

2 answers:

Ahat [919]3 years ago

7 0

<h2>Answer:</h2>

The length of side BC is:

2 units.

<h2>Step-by-step explanation:</h2>

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:

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

kirill [66]3 years ago

4 0

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

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