Question

in rectangle RSTU it is known that RS=12 and ST=5. What is the length of diagonal SU?

Answer 1

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

Answer 2

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:

$\rm H^2=B^2+P^2$

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.

$\rm SU^2= 12^2+5^2$

Step 4 - Simplify the above expression.

$\rm SU = \sqrt{144+25}$

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