We can classify the triangle to be right ,acute or obtuse with respect to their sides . c is the longest sides .For any triangle with sides a,b,c if
1) [tex] a^{2} +b^{2} =c^{2} [/tex] the triangle is a right triangle .
2) [tex] a^{2} +b^{2} <c ^{2} [/tex] the triangle is obtuse.
3) [tex] a^{2} +b ^{2} >c ^{2} [/tex]
Given triangle has side lengths of 80 cm ,39 cm,89 cm . 89 cm is the largest side or c= 89 cm.
[tex] 80^{2} +39^{2} =89^{2} [/tex]
6400+1521 = 7921
7921=7921
[tex] a^{2} +b^{2} =c^{2} [/tex]
The given triangle is a right triangle.
