Answer :
The value of the length of SP is 15 inches. So option C is true.
Used the concept of Pythagoras's theorem that states,
The well-known geometric theorem is that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.
Given that,
VW = 40
VG = 20
ST = 20
and, PT=25
Now, using Pythagoras's theorem
[tex]ST^2+SP^2=PT^2[/tex]
Substitute the given values,
[tex]20^2+SP^2=25[/tex]
[tex]400+SP^2=625[/tex]
Subtract 400 on both sides,
[tex]PS^2 = 225[/tex]
Taking square root on both sides,
[tex]SP=15\text{ inches }[/tex]
Therefore, the length of SP is 15 inches. So, option C is true.
Learn more about Pythagoras's theorem here:
brainly.com/question/343682
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