Transcript Use Angle bisectors of triangles

Use Angle bisectors of triangles
Ch 5.3
In this section…
 We will use the properties of an angle bisector to
solve for missing side lengths.
That can’t be the only thing we need
What
is
an
angle
bisector?
to learn about angle bisectors!
 An angle bisector is a line or ray that divides an
angle in half.
 The distance from the angle bisector to each of
the sides of the angle are congruent and
perpendicular to the sides of the angles.
Angle Bisector?
Angle Bisector?
Angle bisector?
5x + 10
17x - 14
Angle bisector?
3x + 1
6x - 8
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Point of Concurrency
 The angle bisectors will always intersect at a
point called the incenter.
 If you draw perpendicular lines from that point to
the sides of the triangle, then those segments are
congruent.
Perpendicular?
Congruent? Sounds like some
Using
the Incenter
stuffwill
to me!
potential
ProblemsPythagorean
that involve Theorem
the incenter
require
you to at some point set some values equal to
each other.
 Because the incenter deals with perpendicular
lines, that does open up the possibility of using
the Pythagorean Theorem to solve for missing
sides and then set values equal.
Using the Incenter
Using the incenter
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