The length of the side SP is 10 cm and this can be determined by using the Pythagorean theorem.
Given :
In kite PQRS , TS=6 cm and TP=8 cm.
The Pythagorean theorem can be used in order to determine the length of SP. The Pythagorean theorem is given by:
[tex]\rm H^2+P^2+B^2[/tex]
where H is the hypotenuse, P is the perpendicular, and B is the base of the triangle PTS.
Now, substitute the values of length of TS and TP in the above formula.
[tex]\rm SP^2 = 6^2 + 8^2[/tex]
Simplify the above expression in order to determine the value of H.
[tex]\rm SP = \sqrt{36+64}[/tex]
SP = 10 cm
So, the length of the side SP is 10 cm.
For more information, refer to the link given below:
https://brainly.com/question/24252852
