Recall that the diagonals of a rectangle bisect each other and are congruent, therefore:
Substituting the given expression for each segment in the first equation, we get:
Solving the above equation for x, we get:
Substituting x=10 in the equation for segment EI, we get:
Therefore:
Now, to determine the measure of angle IEH, we notice that:
therefore,
Using the facts that the triangles are right triangles and that the interior angles of a triangle add up to 180° we get:
<h2>Answer: </h2>
The additional information which would be sufficient to conclude that LMNO is a parallelogram is; ML ∥ NO, LO ≅ MN, and ML ≅ LO.
<h3>What information renders LMNO a parallelogram?</h3>
The condition for a quadrilateral to be a parallelogram is that; the opposite pairs must be parallel and consequently opposite pairs are congruent as they have equal length measures.
On this note, it can be concluded that the additional information which would be sufficient are; ML ∥ NO, LO ≅ MN, and ML ≅ LO.
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<span>3[(15 - 3) squared divided by 4]
=</span><span>3[(15 - 3)^2 / 4]
=3</span>[(12)^2 / 4]
=3[144 / 4]
=3[36]
=108
