Question

Is a triangle with sides of 3/4, 1, 1/5 a right triangle?

Answer 1

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"`
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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"`
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However: the method I have described above would hold for a valid triangle.