Respuesta :
Answer: 4.90
Step-by-step explanation: We are solving for the vertical line of this right triangle we use the formula a^2=c^2 - b^2 (it won't let me insert equation did the best that i could do) so lets plug in we know that b is 5 and we also know that c is 7 so we put it like this a^2=25-49 because 5 to the second power is equal to 25 (5x5) and 7 to the second power is 49 (7x7) then you subtract them 49-25=24 lastly to get your answer you find the square root of 24 which is a long process im not going through so after you do that process you get a long number of something like 4.3985675 and then you round to get 4.90.
The option that is closest to the distance (in miles) between points A and B is 4.90 miles
What is a right triangle?
"It is a triangle in which one of the angle measures 90° "
What is hypotenuse?
"It is the longest side of the right triangle."
What is Pythagoras theorem?
"In right triangle, a² + b² = c², where c is the hypotenuse and a, b are other two sides of the right triangle. "
For given question,
We have been given a right triangle ABC.
The length of the side AC is labeled as 7 miles.
⇒ AC = 7 miles
The length BC of the triangle is labeled as 5 miles.
⇒ BC = 5 miles
We need o find the distance (in miles) between points A and B.
Assume that in right triangle ABC, angle B measures 90 degrees.
So using Pythagoras theorem,
⇒ AC² = AB² + BC²
⇒ 7² = AB² + 5²
⇒ 49 = AB² + 25
⇒ AB² = 24
⇒ AB = √24
⇒ AB = 4.898
This means, the distance between point A and B is 4.898 miles.
Therefore, the option that is closest to the distance (in miles) between points A and B is 4.90 miles
Learn more about the Pythagoras theorem here:
https://brainly.com/question/343682
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