Answer:
A. x=5
Step-by-step explanation:
This triangle is a right triangle. We know this because of the little square in the corner that represents a right angle. Therefore, we can use Pythagorean Theorem.
[tex]a^2+b^2=c^2[/tex]
where a and b are the legs and c is the hypotenuse.
We know that 4 and 3 are the legs, because they form the right angle. We also know that x is the hypotenuse, because it is opposite the right angle.
a=4
b=3
c=x
Substitute these values into the formula.
[tex]4^2+3^2=x^2[/tex]
Evaluate the exponents.
4^2 is the same as 4*4, which is 16.
3^2 is the same as 3*3, which is 9.
[tex]16+9=x^2[/tex]
Add 16 and 9.
[tex]25=x^2[/tex]
We are trying to find x, which means we have to get x alone. x is currently being squared. To undo this, take the square root of both sides. The exponent and square root will cancel, leaving x by itself.
[tex]\sqrt{25}=\sqrt{x^2}[/tex]
[tex]\sqrt{25}=x[/tex]
[tex]5=x[/tex]
Therefore the correct answer is A: x=5
