Question

which equation is a true equation based on the right triangle shown?

Explanation:

Step1: Apply Pythagorean theorem

In a right - triangle, for a right - triangle with legs of lengths \(a\) and \(b\) and hypotenuse of length \(c\), the Pythagorean theorem is \(a^{2}+b^{2}=c^{2}\).
In right - triangle \(STP\), \(ST = p\), \(TP=s\) (the two legs), and \(SP = t\) (the hypotenuse).
So, by the Pythagorean theorem, \(p^{2}+s^{2}=t^{2}\).

Answer:

\(p^{2}+s^{2}=t^{2}\)