Page 13 *17. In the figure, circle ABCD is inscribed in the quadrilateral EFGH and EF. FG, GH and HE are tangents to the circle at points A, B, C and D respectively. EF and GH are produced to cut at I. It is given that the area of EHI is 120 cm², ZEFG-ZEHI-90° and EH: HI-5:12. (a) Find the lengths of B F G (1) El. (11) AE. (1) CH. (b) Using the results of (a), find the area of quadrilateral EFGH. I D Correction H C
Page 13 *17. In the figure, circle ABCD is inscribed in the quadrilateral EFGH and EF. FG, GH and HE are tangents to the circle at points A, B, C and D respectively. EF and GH are produced to cut at I. It is given that the area of EHI is 120 cm², ZEFG-ZEHI-90° and EH: HI-5:12. (a) Find the lengths of B F G (1) El. (11) AE. (1) CH. (b) Using the results of (a), find the area of quadrilateral EFGH. I D Correction H C
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 38E
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Transcribed Image Text:Page 13
*17. In the figure, circle ABCD is inscribed in the quadrilateral EFGH and EF. FG, GH and HE are
tangents to the circle at points A, B, C and D respectively. EF and GH are produced to cut at I. It
is given that the area of EHI is 120 cm², ZEFG-ZEHI-90° and EH: HI= 5:12.
(a) Find the lengths of
B
F
G
(1) El.
(11) AE.
(1) CH.
E
(b) Using the results of (a), find the area of quadrilateral EFGH.
D
Correction
H
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