Note we've also clarified that b is the entire base of the isosceles triangle, and bis a leg of the right triangle. 1. Use the following process to express band h in terms of r and a: A. Sketch a coordinate plane in which you rotate the isosceles triangle so that h appears along the positive x-axis, with the two right triangles extending above and below the x-axis. B. Now you have a right triangle in the first quadrant with legs ʼn and b, and hypotenuse r. What are sin a and cos a? C. Use these to express band h in terms of r and a. 2. What is the area of the isosceles triangle with base b and height h, using the expressions you found in terms of r and a?
Note we've also clarified that b is the entire base of the isosceles triangle, and bis a leg of the right triangle. 1. Use the following process to express band h in terms of r and a: A. Sketch a coordinate plane in which you rotate the isosceles triangle so that h appears along the positive x-axis, with the two right triangles extending above and below the x-axis. B. Now you have a right triangle in the first quadrant with legs ʼn and b, and hypotenuse r. What are sin a and cos a? C. Use these to express band h in terms of r and a. 2. What is the area of the isosceles triangle with base b and height h, using the expressions you found in terms of r and a?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:Circle
h
Inscribed polygon
Note we've also clarified that b is the entire base of
the isosceles triangle, and b is a leg of the right
triangle.
1. Use the following process to express b and h in
terms of r and a:
A. Sketch a coordinate plane in which you
rotate the isosceles triangle so that h
appears along the positive x-axis, with the
two right triangles extending above and
below the x-axis.
B. Now you have a right triangle in the first
quadrant with legs h and b, and
hypotenuse r. What are sin a and cos a?
C. Use these to express b and h in terms of r
and a.
2. What is the area of the isosceles triangle with
base b and height h, using the expressions you
found in terms of r and a?
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