Question

Which of the following 3 line segments join together to form a right triangle?

• A. 2, 3, 4
• B. 3, 4, 5
• C. 3, 3, 5
• D. 4, 4, 5

Answer 1

The correct option is B 3, 4, 5

The side lengths of a right triangle always satisfy the Pythagoras theorem.
Here, we square the smaller sides and it should be exactly equal to the square of the longest side.
From the given examples, side lengths $3,4,5$ satisfy these conditions as:
$3^2+4^2=25=5^2$
$\therefore$ Triangle with side lengths as $3,4,5$ is a right triangle.