find length of a segment that has endpoint h(2,-3) and J(12,7)
a. 20
b. 10√2
c. 4√2
d. 40
To find the length of a segment with endpoints (2,-3) and (12,7), we can use the distance formula.
The distance formula is given by:
d = √((x2 - x1)² + (y2 - y1)²)
Plugging in the values, we have:
d = √((12 - 2)² + (7 - (-3))²)
= √((10)² + (10)²)
= √(100 + 100)
= √200
= 10√2
Therefore, the length of the segment is 10√2.
Thus, the answer is b. 10√2.
To find the length of a segment with endpoints h(2, -3) and J(12, 7), you can use the distance formula, which is derived from the Pythagorean theorem.
The distance formula is:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Let's plug in the coordinates of the endpoints:
x1 = 2
y1 = -3
x2 = 12
y2 = 7
Now, substitute these values into the distance formula:
d = √((12 - 2)^2 + (7 - (-3))^2)
= √((10)^2 + (7 + 3)^2)
= √(100 + 100)
= √200
Simplifying further, we have:
d = √(2 × 100)
= 10√2
Therefore, the length of the segment with endpoints h(2, -3) and J(12, 7) is 10√2. So, the correct answer is (b) 10√2.
To find the length of a segment with endpoints H(2, -3) and J(12, 7), we can use the distance formula.
The distance formula is given by:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Plugging in the values, we get:
d = √((12 - 2)^2 + (7 - (-3))^2)
= √((10)^2 + (7 + 3)^2)
= √(100 + 100)
= √200
= 10√2
Therefore, the length of the segment is 10√2.
The correct answer is b. 10√2.