Answer:
C. √89
Step-by-step explanation:
Step 1: Define/formula
This is a right triangle, so the Pythagorean Theorem applies.
The Pythagorean Theorem states that the legs of a right triangle, squared, must equal the hypotenuse, squared.
The legs of a triangle are the sides that form the right angle.
The hypotenuse of a right triangle is the longest side.
Step 2: Solve
Here, I am solving for the hypotenuse.
[tex]formula=a^2+b^2=c^2[/tex]
[tex]a, b=legs[/tex]
[tex]c=hypotenuse[/tex]
[tex]5^2+8^2=c^2[/tex]
[tex]25+64=c^2[/tex]
[tex]89=c^2[/tex]
Step 3: Conclude
Since the last step is to find the square root of 89, option 'C' is the right answer.
