Question

17. Let ABCD be an isosceles trapezoid having parallel bases AB and CD with AB > CD. Line segments from a point inside ABCD to the vertices divide the trapezoid into four triangles whose areas are 2, 3, 4, and 5 starting with the triangle with base CD and moving clockwise as shown in the diagram below. What is the ratio AB/CD? (A) 3 (B) 2 + ?2 (C) 1 + ?6 (D) 2?3 (E) 3?2

          17. Let ABCD be an isosceles trapezoid having parallel bases AB and CD with AB > CD. Line segments from a point inside ABCD to the vertices divide the trapezoid into four triangles whose areas are 2, 3, 4, and 5 starting with the triangle with base CD and moving clockwise as shown in the diagram below. What is the ratio AB/CD?
(A) 3 (B) 2 + ?2 (C) 1 + ?6 (D) 2?3 (E) 3?2

17. Let ABCD be an isosceles trapezoid having parallel bases AB and CD with AB > CD. Line segments from a point inside ABCD to the vertices divide the trapezoid into four triangles whose areas are 2, 3, 4, and 5 starting with the triangle with base CD and moving clockwise as shown in the diagram below. What is the ratio AB/CD?
(A) 3 (B) 2 + ?2 (C) 1 + ?6 (D) 2?3 (E) 3?2

Added by Pablo R.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

06/13/2022

Step 1

Given that the area of triangle PSC is 2, we have: Area of triangle PSC = 2 Show more…

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17. Let ABCD be an isosceles trapezoid having parallel bases AB and CD with AB > CD. Line segments from a point inside ABCD to the vertices divide the trapezoid into four triangles whose areas are 2, 3, 4, and 5 starting with the triangle with base CD and moving clockwise as shown in the diagram below. What is the ratio AB / CD? (A) 3 (B) 2 + √2 (C) 1 + √6 (D) 2√3 (E) 3√2