Answer:
13
Step-by-step explanation:
a^2+b^2=c^2
12^2+5^2=c^2
144+25=c^2
169=c^2
c=√169=13
The length of diagonal SU is 13 and this can be determined by using the Pythagorean theorem and the given data.
Given :
In rectangle RSTU it is known that RS=12 and ST=5.
The following steps can be used in order to determine the length of diagonal SU:
Step 1 - The Pythagorean theorem can be used in order to determine the length of diagonal SU.
Step 2 - The Pythagorean theorem is given below:
[tex]\rm H^2=B^2+P^2[/tex]
where H is the hypotenuse, B is the base, and P is the perpendicular.
Step 3 - Substitute the values of the known terms in the above expression.
[tex]\rm SU^2= 12^2+5^2[/tex]
Step 4 - Simplify the above expression.
[tex]\rm SU = \sqrt{144+25}[/tex]
SU = 13
So, the length of the diagonal SU is 13.
For more information, refer to the link given below:
https://brainly.com/question/22568405
