if FC = 20 m and FH = 12 m, what is the lenght of HE?

Answer 1

To solve for the length of HE given distances FC and FH, we need more context about the geometric setup or relationship between these points.

If FC and FH are part of a right triangle or if they're segments of a figure where certain relationships (like using the Pythagorean theorem) apply, please provide that information.

Without additional context, it's impossible to determine the length of HE based solely on the given values of FC and FH. Please provide additional details on the geometric relationships or a diagram.

Answer 2

it is a right triangle

Answer 3

To find the length of HE in the right triangle where FC and FH are the lengths of two sides, we can apply the Pythagorean theorem.

Assuming:

• FC is one leg of the triangle (20 meters)
• FH is the other leg of the triangle (12 meters)
• HE would then be the hypotenuse.

The Pythagorean theorem states:

\[ c^2 = a^2 + b^2 \]

where \( c \) is the length of the hypotenuse, and \( a \) and \( b \) are the lengths of the legs of the triangle.

In this case:

\[ HE^2 = FC^2 + FH^2 \]

Substituting the values:

\[ HE^2 = (20)^2 + (12)^2 \]

Calculating it:

\[ HE^2 = 400 + 144 \] \[ HE^2 = 544 \] \[ HE = \sqrt{544} \] \[ HE \approx 23.33 \text{ m} \]

So the length of HE is approximately 23.33 meters.

Answer 4

the answers are
16
4
8
6

Answer 5

Thank you for providing the potential answers. If \(FC = 20m\) and \(FH = 12m\) are the lengths of the sides of a right triangle and you are looking for a value corresponding to \(HE\), it seems that maybe \(HE\) is not the hypotenuse but instead perhaps a segment derived from a different context involving the triangle.

To clarify, if we consider the lengths \(FC\) and \(FH\) as the lengths of the legs, the problem may involve another segment \(HE\) that could be calculated by determining the relationship of the two legs in some other way.

If we use the information given, here's the potential scenario:

If we are looking for \(HE\) directly based on \(FC\) and \(FH\), we might be looking for a shared relationship, perhaps with:

1. The absolute difference between the two segments: \[ FC - FH = 20m - 12m = 8m \] (which matches one of your options, 8).

2. Or if we're finding a potential average segment.

Given your list of possible answers (16, 4, 8, 6), one plausible interpretation could be simply that \(HE\) is determined by finding the difference, leading to:

• \(HE = 8\) is a candidate from the options provided.

If you meant something else or a specific relationship, please let me know!