159k views
0 votes
Find the distance between the points (10,9) and (2,–6).
Hint: Use the Pythagorean theorem.

1 Answer

2 votes

Final answer:

The distance between the points (10,9) and (2,–6) is found by using the Pythagorean theorem on the differences in their x and y coordinates, resulting in a distance of 17 units.

Step-by-step explanation:

To find the distance between the points (10,9) and (2,–6), we can use the Pythagorean theorem. This theorem states that in a right triangle, the sum of the squares of the two legs (a and b) is equal to the square of the hypotenuse (c).

In this case, the difference in the x-coordinates (10 - 2) is 8, and the difference in the y-coordinates (9 - (-6)) is 15, which represent the two legs of a right triangle.

Applying the Pythagorean theorem:

a² + b² = c²

8² + 15² = c²

64 + 225 = c²

289 = c²

c = √289

c = 17

Therefore, the distance between the points (10,9) and (2,–6) is 17 units.

User Haleonj
by
8.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories