Question 176783
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We know a Right triangle is governed by Pythagorean Theorem, where the Square of the hypotenuse is equal to the sum of the squares of the other 2 sides.
Given---->{{{system(2=opposite,3=adjacent,6=hypotenuse)}}} (hypotenuse being the longest)
To show:
{{{drawing(400,400,-1,4,-1,3,graph(400,400,-1,4,-1,3),triangle(0,0,0,2,3,0),green(line(0,.20,.20,.20)),green(line(.20,.20,.20,0)),red(locate(-.30,1,opp=2)),red(locate(1.25,-.10,adj=3)),red(locate(1.5,1.25,hyp=6)))}}}
Pythagorean theorem states:
{{{hyp^2=opp^2+adj^2}}}
{{{6^2=2^2+3^2}}}
{{{36=4+9}}}
{{{36<>13}}},----> Does not satisfy the theorem, therefore the Lengths cannot represent the Sides of a RIGHT TRIANGLE.
Thank you,
Jojo</pre>