SOLUTION: Classify the triangle with the given side lengths as acute, right or obtuse 8, 10, 12

Algebra ->  Angles -> SOLUTION: Classify the triangle with the given side lengths as acute, right or obtuse 8, 10, 12       Log On


   

Question 109644: Classify the triangle with the given side lengths as acute, right or obtuse

8, 10, 12




Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Classify the triangle with the given side lengths as acute, right or obtuse
8, 10, 12
-------------
The largest angle is opposite the side of length 12.
-------
Using the Law of Cosines:
Let angle opposite side of length 12 be "a".
Cos(A) = [b^2+c^2-a^2]/2bc
Cos(A) = [8^2+10^2-12^2]/2*8*10
Cos(A) = 0.125
A = arccos (0.125) = 82.82 degrees
------------
It is an acute triangle.
================
Stan H.