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Byju's Answer
Standard IX
Mathematics
Every Point on the Bisector of an Angle Is Equidistant from the Sides of the Angle.
In the figure...
Question
In the figure given below in
Δ
P
Q
R
, seg
R
S
is the angle bisector of
∠
P
R
Q
. If
P
S
=
4
,
S
Q
=
6
,
P
R
=
10
, find
Q
R
.
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Solution
Seg RS bisects
∠
P
R
Q
(Given)
∴
P
R
Q
R
=
P
S
S
Q
(Angle bisector property)
∴
10
Q
R
=
4
6
(Substituting the given values)
∴
10
×
6
=
4
×
Q
R
∴
10
×
6
4
=
Q
R
∴
Q
R
=
15
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Every Point on the Bisector of an Angle Is Equidistant from the Sides of the Angle.
Standard IX Mathematics
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