Answer:
x = √40
Step-by-step explanation:
The Pythagorean theorem formula is
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
step 1) divide 4 by 2 to get 2
[tex]2^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
step 2) plug 2 and 6 into the formula
[tex]2^{2}[/tex] + [tex]6^{2}[/tex] = [tex]c^{2}[/tex]
step 3) multiply 2 by 2 to get 4
4 + [tex]6^{2}[/tex] = [tex]c^{2}[/tex]
step 4) multiply 6 by 6 to get 36
4 + 36 = [tex]c^{2}[/tex]
step 5) add 4 by 36 to get 40
40 = [tex]c^{2}[/tex]
step 6) take the square root of both sides of the equal sign (the √ cancels out the ²)
√40 = c
step 7) now you have the answer x = √40
