Question

Please help!
The following is an isosceles trapezoid, find WX

Answer 1

WX=33

Explanation:

Isosceles Trapezoid

The base angles of an isosceles trapezoid are congruent. The base angles of the trapezoid shown in the figure are P and Q, and S and R.

Midsegment Theorem: The length of the midsegment of a trapezoid is the average of the lengths of the bases.

Being W and X the midsegments of PS and QR respectively, then WX is the midsegment of PQ and SR, thus

`\displaystyle WX=(PQ+SR)/(2)`

`\displaystyle WX=(27+39)/(2)=(66)/(2)=33`

WX=33