Answer:
x=6
Step-by-step explanation:
This is a right triangle, because of the little square in the corner. Therefore, we can use the Pythagorean Theorem.
a^2+b^2=c^2
Where a and b are the legs and c is the hypotenuse.
In this triangle, we know that 2.5 and x are the legs, because they form the right angle. We know that 6.5 is the hypotenuse, because it is opposite the right angle.
Therefore, 2.5 and x are a and b, and 6.5 is c.
2.5^2+x^2=6.5^2
Evaluate the exponents
6.25+x^2=42.25
Since we are trying to find x, we have to get x by itself. First, subtract 6.25 from both sides
6.25-6.25+x^2=42.25-6.25
x^2=36
Next, take the square root of both sides, because x is being squared.
[tex]\sqrt{x^2}=\sqrt{36[/tex]
x=6
