Given: Quadrilateral POST is an isosceles trapezoid with OS I PT. ER is its median. a. If OS = 3x - 2, PT = 2x + 10 and ER = 14, how long is each base? b. One base is twice the other and ER is 6 cm long. If its perimeter is 27 cm, how long is each leg?

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.3: Isosceles Triangles
Problem 23E: A surveyor knows that a lot has the shape of an isosceles triangle. If the vertex angle measures 70...
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Solve each problem completely.Show your solutions and write the theorems and properties you applied to justify each step in the solution process.Illustrate each given and box your final answer.

Given: Quadrilateral POST is an isosceles trapezoid with OS II PT. ER is its median.
a. If OS = 3x – 2, PT = 2x + 10 and ER = 14, how long is each base?
b. One base is twice the other and ER is 6 cm long. If its perimeter is 27 cm, how long
is each leg?
Transcribed Image Text:Given: Quadrilateral POST is an isosceles trapezoid with OS II PT. ER is its median. a. If OS = 3x – 2, PT = 2x + 10 and ER = 14, how long is each base? b. One base is twice the other and ER is 6 cm long. If its perimeter is 27 cm, how long is each leg?
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