Given: AKLM is a trapezoid, AK=13 LM=14, KL=5, AM=20 Find: h

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

you forgot the options, but i found them anyways, the correct answer is "john wilson believes that words and actions based on the intellect are superior to those based on emotions".

john wilson is depicted as an extremely intelligent man. the point of the excerpt is to make a sort of distinction between emotional and rational intelligence. he happens to have both attributes, but he clearly favors his intellectual gifts. at the same time, because of his religious background, he's a little bit conflicted with this and it makes him ashamed.

hope this !

explanation:

previous steps have made pa≅ pb ≅ st ≅ su. setting the compass width to ab allows you to make tu the same length. then δstu ≅ δpab by the sss congruence postulate, and ∠p ≅ ∠s by the reason cpctc.