To Find : The value of x for the
Answer to Problem 31WE
The value of x is 4.
Explanation of Solution
Given information:
In
Consider the triangle
Here the side length are:
Consider a point K, three segments are drawn through the point so that length will be x and is parallel to a side of triangle.
Mark the segments as below:
Here,
Also,
Therefore, the triangle proportionality theorm will be applicable here.
Consider the two triangles
Here,
Similarly, from
Similarly,
According to the diagram MBRK is a parallelogram.
Therefore,
Again,
Compare and get:
Therefore, the value is
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McDougal Littell Jurgensen Geometry: Student Edition Geometry
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