Find the length of the following segment created by these pairs of endpoints: (-3, 8), (4, 7)
5
7.1
25
2.5
2007-05-02 18:30:46 · 5 answers · asked by milla q 1 in Science & Mathematics ➔ Mathematics
The key to this kind of problem is viewing the segment as the hypotinus of an imaginary right triangle. When we find the length of the other two sides we can use a^2+b^2=c^2 to find the length of the segment.
We find the length of the two sides by finding the differences between the two x and y coordinates:
-3 - 4 = -7
8 - 7 = 1
We can now plug the two numbers into the equation:
-7^2+1^2 = c^2
49 + 1 = c^2
50 = c^2
7.1 (rounded to the nearest tenth) = c
2007-05-02 18:52:32 · answer #1 · answered by BoranJarami 3 · 0⤊ 0⤋
d^2=(-3-4)^2+(8-7)^2
=49+1
=50
d=5 * sqrt(2)
=7.1
2007-05-02 18:35:50 · answer #2 · answered by iyiogrenci 6 · 0⤊ 0⤋
The closest is 7.1 but the actual value is
7.07106
HTH
Doug
2007-05-02 18:35:50 · answer #3 · answered by doug_donaghue 7 · 0⤊ 0⤋
7.1
2007-05-02 18:39:17 · answer #4 · answered by pechorin1 3 · 0⤊ 0⤋
7.1
2007-05-02 18:35:02 · answer #5 · answered by hrt 2 · 0⤊ 0⤋