(b) perimeter of AABC ВС perimeter of ADEF EF 2 So perimeter of ADEF = 15cm 7.5 perimeter of ADEF 4

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 72E
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(b)
perimeter of AABC
ВС
EF
2
So perimeter of ADEF = 15cm
perimeter of ADEF
7.5
perimeter of ADEF
4
(b)
Since DE|| BC, AABC ~ AADE ( By AA rule of similarity)
AD
So
АВ
DE
DE
3
1.е. -3
7
So DE = 6cm
%3D
ВС
14
Dividing both numerator and denominator by cosß,
4 sinß-3 cos B
4 sin B+3 cos B
(a)
4 tanß-3
3-3
=0
3+3
%3D
4 tan B+3
Transcribed Image Text:(b) perimeter of AABC ВС EF 2 So perimeter of ADEF = 15cm perimeter of ADEF 7.5 perimeter of ADEF 4 (b) Since DE|| BC, AABC ~ AADE ( By AA rule of similarity) AD So АВ DE DE 3 1.е. -3 7 So DE = 6cm %3D ВС 14 Dividing both numerator and denominator by cosß, 4 sinß-3 cos B 4 sin B+3 cos B (a) 4 tanß-3 3-3 =0 3+3 %3D 4 tan B+3
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