Answer :
Answer:
To find the hypotenuse you need to use the Pythagorean Theorem which is
a^2+b^2=c^2
Where a and b are your two sides and c is your diagonal line
So you want to plug the numbers in for the right variables
5^2+12^2=c^2
We want to find what c equals so we are first gonna simplify
25+144=c^2
we take 5^2=25, and 12^2=144, then we add them together 25+144=169
169=c^2 now you want to take 169 and square root it because the opposite of squaring is taking it by the root square
The square root of 169=13
Your hypotenuse is 13
Hope this helps ;)
Given the values of each sides of the right triangle, the the value of the hypotenuse x is 13.
Hence, option B) 13 is the correct answer.
What is Pythagoras theorem?
Pythagoras theorem simply states that "for all right-angled triangles, the square on the hypotenuse is equal to the sum of the squares on the other two sides".
It is expressed as;
c = √(a² + b²)
Given the data in the question;
- a = 5
- b = 12
- c = x
We substitute our given values into the expression above.
c = √(a² + b²)
c = √( (5)² + (12)² )
c = √( 25 + 144 )
c = √169
c = 13
Given the values of each sides of the right triangle, the the value of the hypotenuse x is 13.
Hence, option B) 13 is the correct answer.
Learn more about Pythagoras theorem here: https://brainly.com/question/343682