Question

Can someone help me please?

Answer 1

`x=√(12)`

Explanation:

The Pythagorean theorem states that
`a^2+b^2=c^2` in a right triangle where c is the longest side. To solve for x, we plug in the side lengths given as a and c.

`a^2+b^2=c^2\\2^2+x^2=4^2`

Move 2² to the other side to isolate b²

`x^2=4^2-2^2`

Square root both sides to isolate b

`x=√(4^2-2^2)\\x=√(16-4) \\x=√(12)`

I hope this helps!