SOLUTION: What is the length of the hypotenuse of a right triangle with sides 8cm and 15cm? A. 28cm B. 23cm C. 17cm D. 2cm

Algebra ->  Linear-equations -> SOLUTION: What is the length of the hypotenuse of a right triangle with sides 8cm and 15cm? A. 28cm B. 23cm C. 17cm D. 2cm      Log On


   

Question 447170: What is the length of the hypotenuse of a right triangle with sides 8cm and 15cm?
A. 28cm
B. 23cm
C. 17cm
D. 2cm
Answer by Leaf W.(135) About Me  (Show Source):
You can put this solution on YOUR website!
The lengths of the sides of a right triangle follow the equation a%5E2+%2B+b%5E2+=+c%5E2, where a and b are the length of the legs/sides and c is the length of the hypotenuse.
Plug the stated lengths of the sides into the equation as the values of a and b, then solve for c.
==> a%5E2+%2B+b%5E2+=+c%5E2
==> %288%29%5E2+%2B+%2815%29%5E2+=+c%5E2
==> 64+%2B+225+=+c%5E2
==> 289+=+c%5E2
==> Square root both sides: sqrt%28289%29+=+sqrt%28c%5E2%29
==> Simplify: 17+=+c
***Therefore, the length of the hypotenuse is C. 17 cm
~By the way, thank you for writing your question so clearly and neatly! It is much easier for us that way!