Which set of line segments could create a right triangle? (4 points)

24, 30, 35

12, 18, 30

18, 24, 30

18, 24, 35

3 answers

The set of line segments that could create a right triangle is:

18, 24, 30.
The legs of a right triangle are 10 centimeters and 24 centimeters long. What is the length of the hypotenuse? (4 points)

22 centimeters

26 centimeters

30 centimeters

34 centimeters
Using the Pythagorean theorem, the length of the hypotenuse can be found by taking the square root of the sum of the squares of the lengths of the legs.

In this case, the hypotenuse can be found as follows:

Hypotenuse = √(10² + 24²) = √(100 + 576) = √676 = 26 centimeters

Therefore, the length of the hypotenuse is 26 centimeters.