The height of the trapezoid is
Explanation:
AKLM is a trapezoid.
The measurements of the trapezoid are AK=13, LM=14, KL=5, AM=20
We need to find the height of the trapezoid.
Let M' be a point on AM that is 5 units toward point A from M.
Let B be a point on AM such that KB⊥AM. Let x = AB; then BM' = 15 -x.
Using Pythagorean theorem, we have,
--------(1)
-----------(2)
Subtracting the two equations, we have,
Simplifying, we get,
Subtracting both sides of the equation by 225, we get,
Dividing by 30, we get,
Substituting in the equation , we get,
Thus, the height of the trapezoid is