SOLUTION: Triangle HGJ If angle H = 90 degrees, GJ is greater than GH. How is GJ greater than GH? H = 90 degrees, and a triangle has to equal 180 degrees, I don't understand how it can

Algebra ->  Geometry-proofs -> SOLUTION: Triangle HGJ If angle H = 90 degrees, GJ is greater than GH. How is GJ greater than GH? H = 90 degrees, and a triangle has to equal 180 degrees, I don't understand how it can      Log On


   

Question 704815: Triangle HGJ
If angle H = 90 degrees, GJ is greater than GH.
How is GJ greater than GH? H = 90 degrees, and a triangle has to equal 180 degrees, I don't understand how it can be greater than and not less than.
Answer by KMST(5345) About Me  (Show Source):
You can put this solution on YOUR website!
All 3 angles add up to 180%5Eo. H measures 90%5Eo.
The other two angles add up to 180%5Eo-90%5Eo=90%5Eo, so H is the greatest angle.
GJ is the side opposite H. The other two sides are GH and HJ.
In a triangle, the side opposite the greatest angle is the longest side,
so GJ is the longest side.