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

Respuesta :

A. It is a right triangle.
A^2 + B^2 = C^2
3^2 + 4^2 = C^2
9 + 16 = C^2
25 = C^2
Square Root
5 = C
Confirmed Right Triangle.

The triangle that has sides 3, 4, 5 satisfies Pythagoras theorem.

What is Pythagoras theorem?

"The Pythagoras theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides."

Using Pythagoras theorem,

[tex]a^2 + b^2 = c^2[/tex]

[tex]3^2 + 4^2[/tex] =  9 + 16 = 25

Also, [tex]c^2 = 25[/tex]

So, it satisfies Pythagoras theorem.

Hence, option A is correct.

To know more about Pythagoras theorem here

https://brainly.com/question/9761076

#SPJ2