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6. KAWE is an isosceles trapezoid with midsegment LS. Determine the length of LS. 2 6 2x W. 4x-4

6. KAWE is an isosceles trapezoid with midsegment LS. Determine the length of LS. 2 6 2x W. 4x-4

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.4: Cicumference And Area Of A Cicle
Problem 19E: The legs of an isosceles triangle each measure 10 cm. What are the limit of the length of the base.
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6. KAWE is an isosceles trapezoid with midsegment LS. Determine the length of LS. 2 6 2x W 4x-4 Students, draw anywhere on this slidel
Transcribed Image Text:6. KAWE is an isosceles trapezoid with midsegment LS. Determine the length of LS. 2 6 2x W 4x-4 Students, draw anywhere on this slidel
Expert Solution
Step 1

Given, KAWE is a isosceles trapezoid which means that it has congruent diagonals.

We need to determine the length of mid-segment LS.

Now, Midsegment or Median of a trapezoid is the segment connecting the midpoints of the two non-parallel sides.

 

According to the theorem, the midsegment or median for a trapezoid is parallel to each base and is one half the sum of the bases.

Thus, for this figure , we can conclude that:

Length of LS = 12(Length of KA + Length of EW) 

 

 

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