SOLUTION: the lengths of three side of a triangle are given. Determine whether each triangle is a right triangle. 28. a = 5, b = 8, c = 9 30. a = 18, b = 24, c = 30

Algebra ->  Pythagorean-theorem -> SOLUTION: the lengths of three side of a triangle are given. Determine whether each triangle is a right triangle. 28. a = 5, b = 8, c = 9 30. a = 18, b = 24, c = 30      Log On


   



Question 76174: the lengths of three side of a triangle are given. Determine whether each triangle is a right triangle.
28. a = 5, b = 8, c = 9
30. a = 18, b = 24, c = 30

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Does a%5E2+%2B+b%5E2+=+c%5E2 where c is the longest side?
5%5E2+%2B+8%5E2+=+c%5E2
25+%2B+64+=+89%7D%7D%0D%0A%7B%7B%7Bc+=+9
c%5E2+=+81
a2 + b2 does not equal c2, not a right triangle
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18%5E2+%2B+24%5E2+=+324+%2B+576
324+%2B+576+=+900
c%5E2+=+30%5E2
c%5E2+=+900
a2 + b2 = c2, so it's a right triangle