Question 288320
 I have been working on this math problem and i can't seem to figure it out. I was wondering if someone could help me? Please and Thank You! I would deeply appreciate it! 
Angle RTS is a right angle; segement RT=8, RS=17, VT=12, and VS=9. What is the measure of angle V? Explain.
0 solutions



Since RTS forms a right triangle, by the Pythagorean Theorem we know that 

(TS)^2 + (RT)^2 = 17^2 or
(TS)^2 + 8^2 = 289
(TS)^2 = 289 - 64
(TS)^2 = 225

Notice that for triangle TVS:

(TV)^2 + (VS)^2 = 9^2 + 12^2 = 81 + 144 = 225 so we have:

(TV)^2 + (VS)^2 = (TS)^2

By the Pythagorean Theorem then we know that triangle TVS is a right triangle with right angle at V.