Suppose a triangle has sides 3, 4, and 5. Which of the following must be true? A.The triangle in question is not a right triangle. B.The triangle in question is a right triangle. C.The triangle in question may or may not be a right triangle.

Answer: B.The triangle in question is a right triangle.Step-by-step explanation:The Converse of Pythagoras theorem says that if the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides then the triangle is a right triangle.The given sides of triangle : 3, 4, and 5.Here, Measurement of largest side = 5Then , [tex]5^2=25[/tex]Also, [tex]4^2+3^2=16+9=25[/tex][tex]\Rightarrow\ 5^2=4^2+3^2[/tex]Hence, by the converse of Pythagoras theorem, the triangle in question is a right triangle.