Answer:
To find the length of segment MN in the diagram, we can use the Pythagorean theorem because it's a right-angled triangle.
Given that the diagram is not visible, we can still calculate the length of MN if we have the lengths of the other two sides of the right triangle. Let's assume that sides AB and BN are known.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In equation form, this is expressed as:
Where:
- is the length of the hypotenuse (in this case, MN),
- and are the lengths of the other two sides.
To find the length of MN, we need to know the lengths of sides AB and BN.
Once we have those lengths, we can substitute them into the Pythagorean theorem and solve for MN.
Therefore, to determine which of the given options (14, 16, 18, or 22) is closest to the length of MN, we need the specific lengths of sides AB and BN. We would then use the Pythagorean theorem to find the exact length of MN.
Step-by-step explanation:
