SOLUTION: isbn 0618372628 Find the perimeter of a right triangle with legs that measure 5cm and 9cm.

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Question 51273: isbn 0618372628
Find the perimeter of a right triangle with legs that measure 5cm and 9cm.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Since you are given the lengths of only the two legs, you need to find the length of the hypotenuse of this right triangle before you can find the perimeter. Use the Pythagorean theorem to find the length of the hypotenuse, c.
c%5E2+=+a%5E2%2Bb%5E2
c+=+sqrt%28a%5E2%2Bb%5E2%29 Substitute a = 5 and b = 9
c+=+sqrt%285%5E2%2B9%5E2%29
c+=+sqrt%2825%2B81%29
c+=+sqrt%28106%29
c+=+10.3cm. (Approximately} The perimeter is:
P+=+a%2Bb%2Bc
P+=+5%2B9%2B10.3
P+=+24.3cm (Approximately)