Question

Find the value of xx. Leave your answer in simplest radical form.

Answer 1

Answer:

$\sqrt{28}$

Step-by-step explanation:

We use the pythagorean theorem for this problem: $a^2+b^2=c^2$

First we find the top side of the rectangle by using the triangle legs to find it

$6^2+6^2=c^2\\36+36=c^2\\72=c^2\\\sqrt{72} =c$

Now we find x by using this number as a leg and the hypotenuse as 10

$\sqrt{72} ^2+b^2=10^2\\72+b^2=100\\b^2=28\\b=\sqrt{28}$

I hope this helps please let me know if you have further questions