Difference of legs

In a right triangle, the hypotenuse length is 65 m, and the difference between legs is 23 m. Calculate the perimeter of this triangle.

Correct answer:

o =  154 m

Step-by-step explanation:

c=65 m a = b+23  m c2 = a2+b2  652 = (b+23)2 +b2  652=(b+23)2+b2  2b246b+3696=0 2b2+46b3696=0 2 ...  prime number 46=223 3696=243711 GCD(2,46,3696)=2  b2+23b1848=0  p=1;q=23;r=1848 D=q24pr=23241(1848)=7921 D>0  b1,2=2pq±D=223±7921 b1,2=223±89 b1,2=11.5±44.5 b1=33 b2=56  b>0 b=b1=33 m a=b+23=33+23=56 m  o=a+b+c=56+33+65=154 m

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