Respuesta :

Answer:

32

Step-by-step explanation:

the equation of a right triangle is x^2 + y^2 = z^2, where x and y are the legs and z is the hypotenuse

write the equations for triangles QTS and STR:

RT^2 + TS^2 = 40^2

7^2 + TS^2 = 25^2

then solve for RT:

RT^2 - 7^2 = 40^2 - 25^2 (subtract second equation from first)

RT^2 = 1024

RT = 32