QuestionFind points that divide a segment into four equal parts.
Studdy Solution
STEP 1
Assumptions1. We have a line segment AB. . We want to divide this line segment into four equal parts.
STEP 2
To divide a line segment into four equal parts, we need to find three points that divide the segment into four sections of equal length. Let's denote these points as, Q, and R.
STEP 3
We can use the concept of similar triangles or section formula to find these points. For simplicity, let's use the section formula.
STEP 4
The section formula states that, if a point divides the line segment AB in the ratio m:n, then the coordinates of can be given as
STEP 5
To divide the line segment into four equal parts, the ratios in which point, Q, and R divide the line segment AB are13,22 and31 respectively.
STEP 6
Substitute the values of m and n into the section formula to find the coordinates of point.
STEP 7
Similarly, substitute the values of m and n into the section formula to find the coordinates of point Q.
STEP 8
Again, substitute the values of m and n into the section formula to find the coordinates of point R.
STEP 9
Now, we have the coordinates of points, Q, and R which divide the line segment AB into four equal parts.
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