SOLUTION: how to find the missing measure of each right triangle. a=5 m, b= 4m

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Question 443400: how to find the missing measure of each right triangle. a=5 m, b= 4m
Answer by Leaf W.(135) About Me  (Show Source):
You can put this solution on YOUR website!
An equation of the sides of a right triangle can be written as a%5E2+%2B+b%5E2+=+c%5E2, where a and b are the measures of the legs (the shorter sides) and c is the measure of the hypotenuse (diagonal/longest side). Assuming that your a and b are the legs of the right triangle, plug your values into the equation:
a%5E2+%2B+b%5E2+=+c%5E2
5%5E2+%2B+4%5E2+=+c%5E2
25+%2B+16+=+c%5E2
41+=+c%5E2
Next, square root both sides of the equation:
sqrt%2841%29+=+sqrt%28c%5E2%29
Since sqrt%28c%5E2%29 is the same as c: sqrt%2841%29+=+c
sqrt%2841%29 cannot be simplified.
Therefore, the length of the third side/c/hypotenuse of the right triangle is sqrt%2841%29 meters.