Question 171123
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Let ---> {{{system(x=opposite,x+2=adjacent,x+4=hypotenuse)}}}
Then by Pyth Theorem:
{{{(x+4)^2=x^2+(x+2)^2}}}, Expand
{{{x^2+8x+16x=x^2+x^2+4x+4}}}}
{{{8x+16-4x-4=x^2+cross(x^2)-cross(x^2)}}}
{{{4x+12=x^2}}}
{{{x^2-4x-12=0}}}, Perfect square, 
{{{(x-6)(x+2)=0}}}
{{{highlight(x=6)}}}, opposite side: {{{x=-2}}}, disregard
{{{x+2=6+2=highlight(8)}}}, adjacent side
{{{x+4=6+4=highlight(10)}}},hypotenuse
Consecutive even whole numbers ----->{{{system(opp=6,adj=8,hyp=10)}}}
Thank you,
Jojo