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18.02 Problem Set 3
Due Thursday, March 5 at 1:00 PM in 2106
Reading
The material for this problem set is covered in section SD of the
18.02 Notes, Exercises and
Solutions
, and sections 19.4, 19.5, 19.6, 19.7 of Simmons,
Calculus with Analytic Geometry, 2nd
Edition
.
Part A
(10 points)
Exercises from the Supplementary Notes and Exercises. Please turn in the 10 underlined
problems
for 1 point each, the others are for more practice:
•
(2C)
: 2C1, 2C2, 2C3
, 2C4
•
(2D)
: 2D1, 2D2, 2D3
, 2D4
, 2D6
, 2D7
•
(2E)
: 2E1, 2E2
, 2E4
•
(2F)
: 2F1
, 2F2, 2F5
•
(2H)
: 2H1, 2H3
, 2H4
, 2H5
Part B
(25 points)
1. (8 points, lecture 10) Consider a triangle in the plane, with angles
α,β,γ
. Assume that that
the radius of its incircle (the circle tangent to all three sides) is 1.
(a) By decomposing the triangle into six right triangles having the incenter as a common
vertex, express the area
A
of the triangle in terms of
α
,
β
, and
γ
. The use your result to
show that
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This note was uploaded on 03/01/2009 for the course 18 18.02 taught by Professor Auroux during the Spring '08 term at MIT.
 Spring '08
 Auroux

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