The lengths of three sides of triangle ABC are a, b, c, and the absolute value of c-1-2 under a square + b + root sign =10a. The lengths of three sides of triangle ABC are given as a, b, c respectively, which satisfies the absolute value of c-1-2 under a square + b + root sign =10a +2 root sign b -4-22.(1) Judge the shape of triangle ABC.(2) Find the area of triangle ABC by using Xinglun-Qinjiushao formula S = p (p-a)(p-b)(p-c) where p = a + b + c find the area of triangle ABC.

The lengths of three sides of triangle ABC are a, b, c, and the absolute value of c-1-2 under a square + b + root sign =10a. The lengths of three sides of triangle ABC are given as a, b, c respectively, which satisfies the absolute value of c-1-2 under a square + b + root sign =10a +2 root sign b -4-22.(1) Judge the shape of triangle ABC.(2) Find the area of triangle ABC by using Xinglun-Qinjiushao formula S = p (p-a)(p-b)(p-c) where p = a + b + c find the area of triangle ABC.

(1) A2-10a+25+(√(b-4))2-2√(b-4)+1(c-1)-2|=0(a-5)2+(√(b-4)-1)2(c-1)-2|=0a-5=0,√(b-4)-1=0,√(c-1)-2=0a=5b-4=1, b=5c-1=22=4, c=5, so triangle is equilateral triangle (2) p=(5+5+5)/2=...

The opposite number is equal to its own number has (); the absolute value is its own number has (); the reciprocal is its own number has ().

The opposite number is equal to its own number has (0); the absolute value is its own number has (nonnegative number); the reciprocal is its own number has (1 and -1).