Inscribed Circle For Problems 55-58, the lines that bisect each angle of a triangle meet in a single point O , and the perpendicular distance r from O to each side of the triangle is the same. The circle with center at O and radius r is called the inscribed circle of the triangle (see the figure) . Show that the area K of triangle P Q R is K = r s , where s = 1 2 ( a + b + c ) . Then show that r = ( s − a ) ( s − b ) ( s − c ) s
Inscribed Circle For Problems 55-58, the lines that bisect each angle of a triangle meet in a single point O , and the perpendicular distance r from O to each side of the triangle is the same. The circle with center at O and radius r is called the inscribed circle of the triangle (see the figure) . Show that the area K of triangle P Q R is K = r s , where s = 1 2 ( a + b + c ) . Then show that r = ( s − a ) ( s − b ) ( s − c ) s
Solution Summary: The author explains how the lines that bisect each angle of the triangle meet in a single point O, and the perpendicular distance r from O to each side is the same.
Inscribed CircleFor Problems 55-58, the lines that bisect each angle of a triangle meet in a single point
, and the perpendicular distance
from
to each side of the triangle is the same. The circle with center at
and radius
is called the inscribed circle of the triangle (see the figure).
University Calculus: Early Transcendentals, Single Variable (3rd Edition)
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