Help please I don’t understand

How do i solve using pythagorean theorem?

In the equations, a and b represent the price per night for a room in hotel a and hotel b, respectively, w weeks after september 1 last autumn. what was the price per night in hotel a when it was equal to the price per night in hotel b? a = 240 − 20w b = 320 − 30w

If t17 = 3 (t5) in an arithmetic progression, find t1 in terms of d.