SOLUTION: Classify the triangle formed by the side lengths as right, acute, obtuse. 4,5,6

Algebra ->  Triangles -> SOLUTION: Classify the triangle formed by the side lengths as right, acute, obtuse. 4,5,6      Log On


   

Question 840779: Classify the triangle formed by the side lengths as right, acute, obtuse.
4,5,6
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Let c be the longest side on given set of three numbers.
given:
c=6
a=4
b=5%7D%7D%5D%0D%0A%0D%0A%0D%0A+If+%7B%7B%7Bc%5E2+=+a%5E2%2Bb%5E2, the triangle is right
6%5E2+=+4%5E2%2B5%5E2

36+=+16%2B25
36+%3C%3E+41 ..............so, the triangle is NOT right


If c%5E2+%3E+a%5E2+%2B+b%5E2, the triangle is obtuse
36+%3E+41......NOT TRUE; so the triangle is NOT obtuse

If c%5E2+%3C+a%5E2+%2B+b%5E2, the triangle is acute.
36+%3C+41......TRUE; so,the triangle IS acute