Use the image to answer the question.
A right-angled triangle has the vertices labeled upper P upper S upper T. The height upper S upper T is labeled p; the base upper T upper P is labeled s; and the hypotenuse upper P upper S is labeled t.
Which equation is a true equation based on the right triangle shown?
Option 1: p2+t2=s2
Option 2: p2+s2=t2
Option 3: There is not enough information about the triangle to write an equation.
The correct equation based on the right triangle shown is Option 2: p^2 + s^2 = t^2.
This is known as the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (t in this case) is equal to the sum of the squares of the lengths of the other two sides (p and s in this case).