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.

Respuesta :

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 = 5

Then , [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.