 Hello and welcome to the session, let us understand the following question which says size of triangle is given below Determine if it is a right triangle, in case of a right triangle, right the length of its hypotenuse We have the size as 13 cm, 12 cm and 5 cm Now let us proceed on to the solution, let a is equal to 13 cm, b is equal to 12 cm and c is equal to 5 cm Here we can see that the largest side is 13 cm that is a So according to Pythagoras theorem b square plus c square is equal to a square where a is the largest side That is 12 square plus 5 square is equal to 13 square that is 144 plus 25 is equal to 169 And here we can see that 169 is equal to 169 therefore Pythagoras theorem is satisfied So the triangle with the given sides is a right triangle and hence the hypotenuse of the triangle is 13 cm that is the largest side Therefore yes it is a right triangle and hypotenuse is equal to 13 cm and it is the required answer I hope you have understood the session, bye and have a nice day