12. In the figure, a circle is inscribed in a quadrilateral BCDE such that P, Q, R, S are the points of contact on the sides BC, CD, DE, EB respectively. CB and DE are produced to that 16 cm at A. Given ZBEA = ZDCA = 90°, 20 cm meet AB = 20 cm and AE = 16 cm. (a) Find the lengths of (i) BE, (ii) ER, (iii)BP. B P. (b) Show that AABE ~ AADC. (c) Hence, or otherwise, calculate the length of each side of AADC.
12. In the figure, a circle is inscribed in a quadrilateral BCDE such that P, Q, R, S are the points of contact on the sides BC, CD, DE, EB respectively. CB and DE are produced to that 16 cm at A. Given ZBEA = ZDCA = 90°, 20 cm meet AB = 20 cm and AE = 16 cm. (a) Find the lengths of (i) BE, (ii) ER, (iii)BP. B P. (b) Show that AABE ~ AADC. (c) Hence, or otherwise, calculate the length of each side of AADC.
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Transcribed Image Text:AlphaMind Mathematics/ F.5/ 2. Properties of Circle (Tangent)
12. In the figure, a circle is inscribed in a quadrilateral BCDE
such that P, Q, R, S are the points of contact on the sides
BC, CD, DE, EB respectively. CB and DE are produced to
that
16 cm
at
A.
Given
ZBEA = ZDCA = 90°,
20 cm
meet
AB = 20 cm and AE = 16 cm.
(a) Find the lengths of
(i) BE,
(ii) ER,
(iii)BP.
C
(b) Show that AABE
AADC.
(c) Hence, or otherwise, calculate the length of each side of
AADC.
(Ex. 6C)
13. In each of the following figures, RS is the tangent to the
circle at A. Find the value of the unknown in each figure.
(a)
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