Is a triangle with sides of 3/4, 1, 1/5 a right triangle?
1 Answer
Aug 6, 2016
Not a right triangle.
Explanation:
This makes use of
#color(blue)"converse of Pythagoras' theorem"# If this is a right triangle then.
#1^2=(3/4)^2+(1/5)^2" would have to be true"# left side
#=1^2=1# and right side
#=(3/4)^2+(1/5)^2=9/16+1/25=241/400# Since
#1≠241/400" this is not a right triangle"#
#color(blue)"--------------------------------------------------------"# Additional Note Oversight on my part.
This is not a valid triangle. In any triangle, any side must always be less than the sum of the other 2 sides.
consider side of 1 :
#3/4+1/5=19/20to1>19/20" not valid"#
#color(blue)"--------------------------------------------------------------"# However: the method I have described above would hold for a valid triangle.
