SOLUTION: What is the length of the diagonal of a 10 cm by 15 cm rectangle? I have 5/13 cm but I was told it was wrong. Thank you in advance..

Algebra ->  Pythagorean-theorem -> SOLUTION: What is the length of the diagonal of a 10 cm by 15 cm rectangle? I have 5/13 cm but I was told it was wrong. Thank you in advance..       Log On


   

Question 549173: What is the length of the diagonal of a 10 cm by 15 cm rectangle? I have 5/13 cm but I was told it was wrong. Thank you in advance..
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
One leg 10 cm
Second leg 15 cm
Hypotenuse x cm
By Pythagoras theorem
Hypotenuse^2 = Leg1^2+leg2^2
+%09x+%09%5E2%09=%0910%09%5E2%09%2B%0915%09%5E2
x ^2 = 100 + 225
x ^2 = 325
+sqrt%28x%5E2%29=%09%09sqrt%28%09325%09%29
x=%095sqrt%2813%29