Respuesta :

Step-by-step explanation:

The sides of triangle are 5,12 and 13

Here, the greatest side is 13

Therefore,

  • 13²=5²+12²
  • 169=25+144
  • 169=169 (True)

Hence, these sides will form a right angled triangle.

[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]

To check if the triangle is congruent or not, we have to see if they form Pythagorean triplet, that is :

sum of squares of smaller sides should be equal to square of the longest side.

let's check it out ~

[tex]\qquad \sf  \dashrightarrow \: {5}^{2} + 12 {}^{2} = {13}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: {25}^{} + 144 = 169[/tex]

[tex]\qquad \sf  \dashrightarrow \: 169= 169[/tex]

Therefore, the sides 5, 12 and 13 forms a right angle.

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