Question

1 Solve for the unknown variable:

Answer 1

c = 6.4

Explanation:

To find c, we need to use Pythagoras theorem which is:

`a^2 + b^2 = c^2`

Plug known variables in:

`5^2 + 4^2 = c^2\\25 + 16 = c^2\\√(25 + 16) = c\\√(41) = c \\c = 6.403\\c = 6.4`

Hope this helps!

Answer 2

Approximately 6.4

Explanation:

We can use the pythagorean thereom here, that tells us (a^2)+(b^2)=c^2. C is the hypotenuse, the side opposite from the right angle, while a and b are the other sides. We can insert 5 and 4 as a and b, and solve for c

:(5^2)+(4^2)=c^2

:25+16=c^2

:41=c^2

:sqrt(41)=6.4=c (We square rooted both sides. 6.4 is only rounded to the nearest hundredths place.) Hope this helps!