To find: the values of x and y for a given parallelogram.
Answer to Problem 19WE
The value of x is
The value of y is
Explanation of Solution
Given information:
A diagram representing a parallelogram with its diagonals and measure of sides being given.
Formula used:
By theorem 5-1, the opposite sides of a parallelogram are congruent to each other, which imply their measures being equal.
Calculation:
Consider the figure given below.
Based on the Theorem 5-1, it can be said that the opposite sides of the given parallelogram has the same value. This can be expressed as
Based on the above two equations, the values of x and y can be calculated as follows.
Dividing both sides by 2, the value of x can be obtained as,
Similarly from the second equation, the value of y can be obtained as,
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