SOLUTION: The legs of a right triangle are 3 units and 10 units. What is the length of the hypotenuse? Round your answer to the nearest hundredth. PLEASE HELP AND PLEASE EXPLAIN YOUR ANSWER

Algebra ->  Pythagorean-theorem -> SOLUTION: The legs of a right triangle are 3 units and 10 units. What is the length of the hypotenuse? Round your answer to the nearest hundredth. PLEASE HELP AND PLEASE EXPLAIN YOUR ANSWER       Log On


   

Question 979805: The legs of a right triangle are 3 units and 10 units. What is the length of the hypotenuse? Round your answer to the nearest hundredth. PLEASE HELP AND PLEASE EXPLAIN YOUR ANSWER
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
In general, if the legs of a right triangle
are +a+ and +b+, anfd the hypotenuse
is +c+, then the pythagorean theorem says:
+c%5E2+=+a%5E2+%2B+b%5E2+
Take the square root of both sides:
+c+=+sqrt%28+a%5E2+%2B+b%5E2+%29+
---------------------------------
You are given that:
+a+=+3+
+b+=+10+
To find the hypotenuse:
+c+=+sqrt%28+3%5E2+%2B+10%5E2+%29+%0D%0A%7B%7B%7B+c+=+sqrt%28+9+%2B+100+%29+
+c+=+sqrt%28+109+%29+
+c+=+10.4403+
( by my calculator )
Hope this helps