SOLUTION: in triangle RTS, RT=7cm, RS=25cm and T is a right angle. What is the lenght of ST?

Algebra ->  Triangles -> SOLUTION: in triangle RTS, RT=7cm, RS=25cm and T is a right angle. What is the lenght of ST?      Log On


   



Question 710453: in triangle RTS, RT=7cm, RS=25cm and T is a right angle. What is the lenght of ST?
Answer by vheroli(126) About Me  (Show Source):
You can put this solution on YOUR website!
Use Pythagorean theorem:
c%5E2+=+a%5E2+%2B+b%5E2
Since T is the right angle, it means that RS is the hypotenuse
25%5E2=+7%5E2+%2B+b%5E2
625=+49+%2B+b%5E2
625-49=+b%5E2
+576=+b%5E2
+sqrt%28576%29=+b
+24=b

Answer: ST=24cm